Question

Todd has created the following diagram to prove the Pythagorean theorem. He drew (triangle)ABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the hypotenuse. He determines that c/a=a/z and c/b=b/y. Then he determines that cx=a^2 and cy=b^2. What is the next step in proving the theorem?

Answer 1

Answer:

cx + cy = a² + b²

Step-by-step explanation:

Next step is adding up cx and cy:

• cx + cy = a² + b²

Then followed by:

• c(x+y) =  a² + b²
• c² =  a² + b²