Question

Answer these questions about the right triangle.

Answer 1

Answer:

$36units^2$, $64units^2$ and $100units^2$

Step-by-step explanation:

The triangle have its sides as the side of the three square.

The side of the third square or the hypotenuse of the triangle can be find by applying Pythagorean theorem in the middle triangle:

$Hypotenuse^2=Perpendicular^2+Base^2$

$Hypotenuse^2=6^2+8^2\\\\Hypotenuse^2=36+64\\\\Hypotenuse^2=100\\\\Hypotenuse=10 units$

The side of the third square is 10 units

Area of the Square= Side*Side

Area of the square with side '6 units'

                     $= 6*6=36 units^2$

Area of the square with side of '8 units'

              = $8*8=64 units^2$

Area of the square with side of '10 units'

           $=10*10=100 units^2$                        

Answer 2

Answer:

the area of the square of the leg 6: 6² = 36

the area of the square of the leg 8: 8² = 64

the length of the hypotenuse: √6² + 8² = √100 = 10

the area of the hypotenuse square: 10² = 100

Step-by-step explanation:

the area of the square of the leg 6: 6² = 36

the area of the square of the leg 8: 8² = 64

the length of the hypotenuse: √6² + 8² = √100 = 10

the area of the hypotenuse square: 10² = 100