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.

Question

Mathematics

Beard

7 January, 03:33

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.

+5

Answers (1)

Know the Answer?

Ahmad Figueroa · Answer 1

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.

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.

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.