## Saturday, January 21, 2012

### Ghelo's Square Root Scribe Post

9.What are all the possible whole numbers that have a square root between 4 and 5?
17,18,19,20,21,22,23,24
14.Alex is thinking of a number. The number has a square root between 7 and 8 and is
a multiple of 12.
a.)
b.)Is there more than one answer? Explain. No there is no more answer possible because all the other numbers that are a multiple of twelve are rather lower than 49 or higher that 64.
Ex. 48 is below 49 and 72 is higher than 64

15. Order the following numbers from least to greatest : 7,46, 5.8,27, 6.3
√46 = 6.7 and 27= 5.1
5.1, 5.8, 6.3, 6.7, 7

SORRY I couldn't add colour it won't allow me !

Pythagoras Scribe Edit

1. Answer in a short paragraph and with diagrams
In a right triangle, a2 and b2 are the area of the legs' side length. The formula c2 = a2+b2 simply means that if you add the area of the square attached to the right triangle's legs, the sum equals the area of the square attached to the right triangle's hypotenuse. Also, if you square root the area of the square attached to the hypotenuse, you'll get the side length of c.

2. Solve for the missing side length.

12cm =a
5cm = b
?= c

a^2+b^2= c^2
12^2+5^2=c^2
144+25= c^2
c^2 = 169 cm^2
√c^2=√169
c = 13 cm

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

a^2 = 8 cm
b^2= 6 cm
c^2= 11 cm