If the hypotenuse of a triangle is 13, and one side length is 5, what is the second side length?
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To find the second side length, you can use the Pythagorean theorem, which states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, one side length is 5, and the hypotenuse is 13. Let's call the second side length x.
Applying the Pythagorean theorem:
13^2 = 5^2 + x^2
169 = 25 + x^2
Subtracting 25 from both sides:
144 = x^2
Taking the square root of both sides:
12 = x
So, the second side length is 12.