*Remember- The formula is s x s= a (area of a square)
1. Answer in a short paragraph and with diagrams
- This equation mean the area of the square on the hypotenuse (the longest line in a right triangle) is equal to the sum of the areas of the squares of the other two sides(legs)— that is, a2 + b2 = c2.
So, I made a pythagoras problem here and it is asking for the length of the hypotenuse. In order to get that we need to use the formula a2 + b2 = c2.
- Secondly, we also need to find the area of leg b, it has an area of 15 cm. So, we again need to multiply it by itself. 15 cm x 15 cm = 225 squared centimetre (cm2)
- Third, we now need to add the two areas and we should be able to get the area of the hypotenuse or c. 100 cm2 + 225 cm2 = 325 cm2.
- Lastly, we need to find the square root of 325 cm2 because it doesn't fit the 10 cm and 15 cm side length of the two legs. 325 = 18.02 cm
- There it is the hypotenuse of this right triangle is measured 18.02 cm
2. Solve for the missing side length.
- Thirdly, we need to add the two areas of the legs. 25 cm2 + 144 cm2 = 169 cm2
- Lastly, we need to find the square root of 169 cm2 to fit the side length 5 cm, and 12 cm.
169= 13 cm. There it is, the missing side length is 13 cm
- To see we need to use the formula a2 + b2 = c2. If the area of the 2 legs doesn't add up to the area of c then it is not a right triangle.
- First, we need to find the area of 6 cm. 6 cm x 6 cm = 36 squared centimetres cm2
- Second, we need to find the area of 8. 8 cm x 8 cm = 64 squared centimetres cm2
- Third, we need to add the area of the two legs. 36 cm2 + 64 cm2 = 100 cm2
- Lastly, we need to find the square root of 100. 100= 10 cm
- The sum of the two areas of the legs is not 11 cm which is depicted in the right triangle so this means that this is not a right triangle.