Question

Mario writes the equation (x+y)2=z2+4(12xy)(x+y)2=z2+4(12xy) to begin a proof of the Pythagorean theorem.

Use the drop-down menus to explain why this is a true equation.​

Answer 1

Explanation:

( x + y ^)2 finds the area of the outer square by squaring its side length.

z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.

Answer 2

1) (x+y)^2

2) z^2+4(1/2xy)

Explanation:

( x + y )^2 finds the area of the outer square by squaring its side length.

z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.