If the hypotenuse of a triangle is 13, and one side length is 5, what is the second side length?

*
1 point
Captionless Image
8
9
16
12

1 answer

To find the second side length of the triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let the second side length be x. According to the Pythagorean theorem, we have:

x^2 + 5^2 = 13^2

Simplifying the equation, we get:

x^2 + 25 = 169

Subtracting 25 from both sides, we have:

x^2 = 144

Taking the square root of both sides, we get:

x = 12

Therefore, the second side length is 12.