Finding the value of x using the Pythagorean Theory

Question

For what value of x is the triangle a right triangle?

A= x+3

B= 9

C ( hypotenuse) = x+6

Find the value of x

Answer 1

A right triangle means that the Pythagorean Theorem will provide a true answer (a² + b² will equal c²).

So, we need to find a value for x that provides a true statement.

a² + b² = c²

(x + 3)² + 9² = (x + 6)²

x² + 6x + 9 + 81 = x² + 12x + 36

6x + 9 + 81 = 12x + 36

6x + 90 = 12x + 36

90 = 6x + 36

54 = 6x

9 = x