The unknown side can be determined using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Let the unknown side be denoted as x.
According to the Pythagorean theorem, we have:
5^2 + x^2 = 13^2.
Simplifying this equation gives:
25 + x^2 = 169.
Subtracting 25 from both sides gives:
x^2 = 144.
Taking the square root of both sides gives:
x = 12.
Therefore, the measurement of the unknown side is 12, so the answer is 12.
The shortest side of a right triangle measures 5, and the longest side measures 13. Determine the measurement of the unknown side.
4
11
13
12
1 answer