1, explain the Pythagoras method

A+B=C

that method is the way you find out if the triangle is a right triangle. you take the a + b-c and fill the numbers in.

if the to legs add up to the hypotenuse then you have a right triangle.

2. answer this missing side.

one leg equals = 12 which is A side

the other = 5

so we go c=a+b

c2=12+5

c2= (12x12) + (5x5)

c2= 144+25

c2=169( sqaure root it )

c=13

so the answer will be the c= 13 2

3.is the triangle a right triangle? prove it !!!

well one side equals 8 the other equals 6 so

a2+b2=c2

8+6=14

14 2=11 2

there for the triangle is not a right triangle.

## Tuesday, February 14, 2012

### Danicka's Textbook Answers #s 5,8,17

14)Estimate each value,to one decimal place.Check your answer with a calculator.

Estimate:

**a) 3.6 b)9.3 c)11.6**calculate:

**a) 3.7 b)9.2 c)11.6**8.Identify all possible whole numbers with a square root larger than 2 and smaller than 3.

17)Carmel wants to mount an 18cm x 18 cm square picture on a square board that is four times the area of the picture.

a) What is the area of the picture?

b) What is the area of the board?

**18x18=324 cm2**b) What is the area of the board?

**324x4=1,296cm 2**c)What are the dimension of the board?

**√296 =136**1.Pythagorean relationship means that the two legs(a^2+b^2) equals c^2 or the hypotenuse

3)I messed up on this one.

here's a link:http://www.mathsisfun.com/square-root.html

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### Joshua's Square Numbers and Prime Factorization Blog

Four things about a rectangle and a square:

Length, Width and Area.

Prime Factorization:

Prime Number- only has 2 factors; 1 and itself.

eg. 2, 3, 5, 7, 11

Line of Prime Factorization:

Here is a video about Square Numbers.

Here is a video about prime numbers.

Square Numbers site:

http://www.learntables.co.uk/square_numbers/

Prime Numbers site:

http://www.sheppardsoftware.com/mathgames/numbers/fruit_shoot_prime.htm

Pythagorean Relationship

1. The Pythagorean relationship is when the sum of the area of the two squares attached to the triangle's leg equal the area of the square attached to the triangle's hypotenuse. (a²+b²=c²)

Question 2

Question 3

No, it's not a right triangle. As you can see, I did my calculations on the paper. I say this isn't a right triangle because in my calculations, the sum of the area of the squares attached to the legs is 100 cm² (which is 10 cm in length). However, on the image, it says that the hypotenuse is 11 cm in length and has an area of 121 cm². This doesn't follow the formula of the Pythagorean relationship which is a²+b²=c². In short, the sum of the area of the squares attached to the legs don't equal the area of the square attached to the hypotenuse.

Length, Width and Area.

Prime Factorization:

Prime Number- only has 2 factors; 1 and itself.

eg. 2, 3, 5, 7, 11

Line of Prime Factorization:

Here is a video about Square Numbers.

Here is a video about prime numbers.

Square Numbers site:

http://www.learntables.co.uk/square_numbers/

Prime Numbers site:

http://www.sheppardsoftware.com/mathgames/numbers/fruit_shoot_prime.htm

Pythagorean Relationship

1. The Pythagorean relationship is when the sum of the area of the two squares attached to the triangle's leg equal the area of the square attached to the triangle's hypotenuse. (a²+b²=c²)

Question 2

Question 3

No, it's not a right triangle. As you can see, I did my calculations on the paper. I say this isn't a right triangle because in my calculations, the sum of the area of the squares attached to the legs is 100 cm² (which is 10 cm in length). However, on the image, it says that the hypotenuse is 11 cm in length and has an area of 121 cm². This doesn't follow the formula of the Pythagorean relationship which is a²+b²=c². In short, the sum of the area of the squares attached to the legs don't equal the area of the square attached to the hypotenuse.

### pythagoras scribe

1. a and b are the legs of a triangle and c is the hypotenuse

A(squared) + b(squared) = c(squared) means that the squared legs of a triangle equals the hypotenuse squared.

2. A(squared) + b(squared) = c(squared)

A=12cm B=5cm (12x12) + (5x5) = c(squared)

144+25=169

the square root of 169 equals the side length of c

c=13

3. A(squared) + B(squared) = c (squared)

A=8cm B=6cm (8x8) + (6x6) = c(squared)

64 + 36 = 100

the square root 100 equals the side length of c

c=10 this is a right triangle because the hypotenuse is longer then the legs

3.4 pages 104-105 #3-16

3. A) A(squared) + B(squared) = C(squared)

C(squared) = (12x12) + (16x16)

C(squared) = 144+256

C(squared) = 400

the square root of 400 equals the side length of c

C=20cm

B) A(squared) + B(squared) = C(squared)

R(squared) = (30x30) + (16x16)

R(squared) = 169 + 126

R(squared) = 295

the square root of 295 equals the side length of C

R = 17.17cm

4.A) A(squared) + B(squared) = C (squared)

Z(squared) = (7x7) + ( 6x6)

Z(squared) = 49 + 36

Z(squared) = 85

the square root of 85 equals the side length of C

Z=9.2

B) A(squared) + B(squared) = C(squared)

(8x8) + (11x11) = C(squared)

64 + 121 = 185

the square root of 185 equals the side length of c

C=13.6cm

5.A)6x6=36

8x8=64

B) 36+64=100

C) the square root of 100 is 10

A(squared) + b(squared) = c(squared) means that the squared legs of a triangle equals the hypotenuse squared.

2. A(squared) + b(squared) = c(squared)

A=12cm B=5cm (12x12) + (5x5) = c(squared)

144+25=169

the square root of 169 equals the side length of c

c=13

3. A(squared) + B(squared) = c (squared)

A=8cm B=6cm (8x8) + (6x6) = c(squared)

64 + 36 = 100

the square root 100 equals the side length of c

c=10 this is a right triangle because the hypotenuse is longer then the legs

3.4 pages 104-105 #3-16

3. A) A(squared) + B(squared) = C(squared)

C(squared) = (12x12) + (16x16)

C(squared) = 144+256

C(squared) = 400

the square root of 400 equals the side length of c

C=20cm

B) A(squared) + B(squared) = C(squared)

R(squared) = (30x30) + (16x16)

R(squared) = 169 + 126

R(squared) = 295

the square root of 295 equals the side length of C

R = 17.17cm

4.A) A(squared) + B(squared) = C (squared)

Z(squared) = (7x7) + ( 6x6)

Z(squared) = 49 + 36

Z(squared) = 85

the square root of 85 equals the side length of C

Z=9.2

B) A(squared) + B(squared) = C(squared)

(8x8) + (11x11) = C(squared)

64 + 121 = 185

the square root of 185 equals the side length of c

C=13.6cm

5.A)6x6=36

8x8=64

B) 36+64=100

C) the square root of 100 is 10

### Joshua Rego's textbook questions

3 questions from pg. 110-111 #4,#7 #,13

4. Find the height of the pole where the guy wire is attached,

to the nearest tenth of a meter.

10msq+2msq=

100m+4m=

104m

√104m=10.19

7. What is the height of the wheelchair ramp? Give you answer to

the nearest tenth of a centimeter.

80cmsq+79cmsq=

6,400m+6,241m=

4. Find the height of the pole where the guy wire is attached,

to the nearest tenth of a meter.

10msq+2msq=

100m+4m=

104m

√104m=10.19

7. What is the height of the wheelchair ramp? Give you answer to

the nearest tenth of a centimeter.

80cmsq+79cmsq=

6,400m+6,241m=

12,641m

√12,641m=112.4

13. A cruise ship travels from Port Cassett north at speed of 34km/h

for 2.5 h. Then turns 90° and travels west at 30 km/h for 7.3 h. When it

reaches Green sea island how far is the ship from Port Cassett?

235km

Pythagoras Scribe Edit

1.Answer in a short paragraph and with diagrams

The Pythagorean relationship means that the sum of the two side lengths (a and b)

should equal the hypotenuse ( C ).

2. The way to solve the missing side length.

a2+b2=c2

12cm^2+5cm^2=c2

144cm+25cm=

169cm=c2

√169cm=√c2

13cm=c2

The hypotenuse is 13cm

3. Is this a right triangle? Prove it!!!

a2+b2=c2

8cm2+6cm2=c2

(8x8)+(6x6)=

64cm+36cm=

100cm

√100cm=√C2

10cm

The hypotenuse is 10cm.

## Monday, February 13, 2012

### Amanda`s Pythagoras Relationships

**10. a)**a(2) 81 cm (2)

**b(2)**144 cm (2)

**c(2)**225 cm (2)

**d)**a+b=c

81= 144= 225

225=225

**11. a)**A(2)+b(2)=c(2) b) No this triangle is not a right triangle because 4x9 does not equal

2(2)+3(2)=4(2) to 16 like 4x4 does.

(2x2)+(3x3)=4x4

2+9=13

13=16

**12. a)**a(2)+b(2)=c(2)

9(2)+12(2)=15(2)

(9x9)+(12x12)=15x15

81+144=225

225=225-perfect triangle

**b) a**(2)+b(2)=c(2)

7(2)+8(2)=11(2)

(7x7)+(8x8)=11x11

49+64=113

113=121-Non-perfect triangle

**c)a**(2)+b(2)=c(2)

7(2)+b(2)=25(2)

(7x7)+(24x24)=25x25

49+576=625

625=625-Perfect triangle

**d)a**(2)+b(2)=c(2)

16(2)+30(2)=34(2)

(16x16)+(30x30)=34x34

256=900=1156

1156=1156-Perfect triangle

### Joshua Rego's Pythagoras Scribe

1. The relationship between a2+b2=c2 is that a+b=c (leg+leg=hypotnuse.)

2. The way I figured out the hypotenuse was by using the 2 legs (12cm and 5cm) to find the hypotenuse.

a2+b2=c2

12squared+5squared=c2

(12x12)(5x5)=c2

144+25=c

c=169

Square root of c =Square root of 169

c2=13

3. The side lengths are 6,8 and 11cm. the way to find out if this triangle is a right triangle is to add up the two legs and see if they equal the hypotenuse.

6+8=14

This is not a right triangle.

2. The way I figured out the hypotenuse was by using the 2 legs (12cm and 5cm) to find the hypotenuse.

a2+b2=c2

12squared+5squared=c2

(12x12)(5x5)=c2

144+25=c

c=169

Square root of c =Square root of 169

c2=13

3. The side lengths are 6,8 and 11cm. the way to find out if this triangle is a right triangle is to add up the two legs and see if they equal the hypotenuse.

6+8=14

This is not a right triangle.

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### Ross's pythagorean relationship

A pythagorean relationship:

a sq+b sq=c sq

Figure out the side lengths of a triangle.

Try to find your answer.

Think if its a right triangle or not.

Show your work.

a sq+b sq=c sq

Figure out the side lengths of a triangle.

Try to find your answer.

Think if its a right triangle or not.

Show your work.

### Diana's Pythagoras Post.

**1)**

The relationship between the lengths of the side of a right triangle. The sum of the areas of the squares attached to the legs

of a right triangle equals the area of the square attached to the hypotenuse.

**2) Solve the missing side length.**

**3)Is this a right triangle?**

**Textbook A**

**nswers**

**12)**While shopping online, Ji Hun finds a square rug with the area of 11 m squared. He needs to know if it will fit his 4 m x 5 m bedroom.

**a)**

**b)**

**√11 = 3.316**

**c)**

Yes it will, because the area of the room is 20 m2.

**16)**A fitness center will install square hot tub in a 6m x 6m room . They want the tub to fill no more than 75% of the rooms area.

**a)**

**b)**

**the fitness center should install a dimension of 5.1 by 5.1 because the area does not exceed 75% of the space available.**

Heres a video that can help you.

### Paolo's pythagorean blog post

3 questions from pg. 110-111 #4,#7 #,13

4. Find the height of the pole where the guy wire is attached,

to the nearest tenth of a meter.

10msq+2msq=

100m+4m=

104m

√104m=10.19

7. What is the height of the wheelchair ramp? Give you answer to

the nearest tenth of a centimeter.

80cmsq+79cmsq=

6,400m+6,241m=

4. Find the height of the pole where the guy wire is attached,

to the nearest tenth of a meter.

10msq+2msq=

100m+4m=

104m

√104m=10.19

7. What is the height of the wheelchair ramp? Give you answer to

the nearest tenth of a centimeter.

80cmsq+79cmsq=

6,400m+6,241m=

12,641m

√12,641m=112.4

13. A cruise ship travels from Port Cassett north at speed of 34km/h

for 2.5 h. Then turns 90° and travels west at 30 km/h for 7.3 h. When it

reaches Green sea island how far is the ship from Port Cassett?

235km

Pythagoras Scribe Edit

1.Answer in a short paragraph and with diagrams

The Pythagorean relationship means that the sum of the two side lengths (a and b)

should equal the hypotenuse ( C ).

2. Solve for the missing side length.

a2+b2=c2

12cm^2+5cm^2=c2

144cm+25cm=

169cm=c2

√169cm=√c2

13cm=c2

The hypotenuse is 13cm

3. Is this a right triangle? Prove it!!!

a2+b2=c2

8cm2+6cm2=c2

(8x8)+(6x6)=

64cm+36cm=

100cm

√100cm=√C2

10cm

The hypotenuse is 10cm.

### Ross's Pythagoras blog post

5. Martin measured a rectangle and wrote:

Width:9cm length:22cm Diagonal 23.8cm

Could these measurements form a rectangle?Justify your answer.

Yes it can form to a rectangle.

6.Your asked to check the design plans for a baseball diamond. Is it a right triangle?

Hypotenuse:27m

27x27=729m

No its not a right triangle.

7.What is the height of the wheel chair ramp?

Give answer to the nearest tenth.

The height of the wheel chair ramp is 9cm.

Width:9cm length:22cm Diagonal 23.8cm

Could these measurements form a rectangle?Justify your answer.

Yes it can form to a rectangle.

6.Your asked to check the design plans for a baseball diamond. Is it a right triangle?

Hypotenuse:27m

27x27=729m

No its not a right triangle.

7.What is the height of the wheel chair ramp?

Give answer to the nearest tenth.

The height of the wheel chair ramp is 9cm.

### Melody's Pythagoras Relationships

10. a) a(2)------>81 cm(2)

b(2)------> 144cm(2)

c(2)------> 225cm(2)

b) a+b=c

81=144=225

225=225

11. a) a(2)+b(2)=c(2) b)No this triangle is not a right triangle because 4x9 does not equal

2(2)+3(2)=4(2) to 16 like 4x4 does.

b(2)------> 144cm(2)

c(2)------> 225cm(2)

b) a+b=c

81=144=225

225=225

11. a) a(2)+b(2)=c(2) b)No this triangle is not a right triangle because 4x9 does not equal

2(2)+3(2)=4(2) to 16 like 4x4 does.

2+9=13

13=\16

12. a) a(2)+b(2)=c(2)

9(2)+12(2)=15(2)

(9x9)+(12x12)=15x15

81+144=225

225=225-Perfect triangle

b) a(2)+b(2)=c(2)

7(2)+8(2)=11(2)

(7x7)+(8x8)=11x11

49+64=113

113=\121-Non-perfect triangle

c) a(2)+b(2)=c(2)

7(2)+24(2)=25(2)

(7x7)+(24x24)=25x25

49+576=625

625=625-Perfect triangle

d) a(2)+b(2)=c(2)

16(2)+30(2)=34(2)

(16x16)+(30x30)=34x34

256+900=1156

1156=1156-Perfect triangle

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