What is the length of the unknown side of the right triangle? (1 point)

A right triangle with hypotenuse x and legs 5 and 12

13

17

25

60

1 answer

The length of the unknown side of the right triangle can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

In this case, the legs are 5 and 12, and the hypotenuse is the unknown side, represented by x. Therefore, we have the equation:

x^2 = 5^2 + 12^2

Simplifying this equation, we get:

x^2 = 25 + 144
x^2 = 169

Taking the square root of both sides, we find:

x = √169
x = 13

Therefore, the length of the unknown side of the right triangle is 13. The answer is 13.