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.

Step-by-step 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.

1) (x+y)^2

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

Step-by-step 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.

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step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!