Question

A right triangle has leg lengths 8 and x. The hypotenuse length is (x + 2). What is the length of the hypotenuse?

Answer 1

Answer:

17 is the length of the hypotenuse.

Step-by-step explanation:

The pythagora theorem tells us a²+b²=c², where C is hypotenuse.

Replace the given info into the formula:

8² + x² = (x+2)²

64 + x² = x² + 4x + 4

64 - 4 = 4x

60 = 4x

x = 60/4

x = 15

Hypotenuse length is 15+2=17