If the hypotenuse of a triangle is 13, and one side length is 5, what is the second side length?(1point)
To find the second side length, we can use the Pythagorean theorem, which 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's denote one side length as a and the second side length as b. Given that the hypotenuse is 13 and one side length is 5, we can use the Pythagorean theorem to solve for b:
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 169 - 25
b^2 = 144
Taking the square root of both sides, we have:
b = √(144)
b = 12
Therefore, the second side length is 12.