Question

Given a right triangle ABC, we have found that a2=cr and b2=cq. Which of the following steps needs to be performed to result in the Pythagorean​ Theorem?

a) Add the left sides and the right sides of each equation, and then use the fact that q+r=c.
b) Add the left sides and the right sides of each equation, and then use the fact that q=c2 and r=c2.
c) Multiply the left sides and the right sides of each equation, and then use the fact that q⋅r=1.
d) Multiply the left sides and the right sides of each equation, and then use the fact that q+r=c.

Answer 1

To result in the Pythagorean Theorem, we need to add the left sides and the right sides of each equation and then use the fact that q + r = c.

Step-by-step explanation:

To result in the Pythagorean Theorem, we need to add the left sides and the right sides of each equation and then use the fact that q + r = c. So the correct step is option a) Add the left sides and the right sides of each equation, and then use the fact that q + r = c.