Question

PLEASE HELP ME! MY HOME WORK IS DUE IN AN HOUR!!!

The right triangle below has legs of length a=10 and b=7. The hypotenuse has length c. (look at the image)

Part 1: compute the total combined area of the four triangles.
Part 2: Compute the area of the large (outer) square.
Part 3: Using your answers from parts 1 and 2, find the area of the small inner square.
Part 4: We are given the side lengths a=10 and b=7. Compute a²+b².
Part 5: use , or = to complete the statement below.​

Answer 1

Part 1

The area of one triangle is
`(1/2)(7)(10)=35`. Multiplying this by 4 yields
`\boxed{140}`.

Part 2

`(10+7)^2=\boxed{289}`

Part 3

`289-140=\boxed{149}`

Part 4

`10^2+7^2=\boxed{149}`

Part 5

The statement is missing.