Question

Proving Pythagorean Theorem

Answer 1

The answer is 7. Explanation: Because in order to prove Pythagorean Theorem, it is A squared, plus b squared equals c squared. And the hypotenuse is always c squared.

Answer 2

Answer: b =
`√(7)`, so you will enter 7

Explanation:

The Pythagorean Theorem states that a² + b² = c² where a and b are the legs, and c is the hypotenuse.

All of these right triangles are congruent, so we only need to solve for one b.

Given:

a² + b² = c²

Input known values:

(3)² + (b)² = (4)²

Square:

9 + b² = 16

Subtract 9 from both sides of the equation:

b² = 7

Square root both sides:

b =
`√(7)`