Question

Todd draws a diagram using four identical right triangles to form a square as shown. which best describes how to use the areas of the shaded triangles to begin a proof of the phythagorean theorem?

Answer 1

the 3rd one (c)

Step-by-step explanation

its right i tried it on my quiz

Answer 2

Option (3)

Explanation:

From the picture attached,

Area of white square = (side)²

Length of each side of the white square = (b - a)

Area of white square = (b - a)²

Area of each right triangle =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(a)(b)`

Area of four right triangles = Area of big square - Area of white square

=
`c^(2)-(b-a)^2`

Since area of 4 right triangles = 4(Area of each right triangle)

c² - (b - a)² =
`4[(1)/(2)(ab)]`

Therefore, Option (3) will be the answer.