To find the length of the hypotenuse in a right triangle, we can use 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 other two sides.
Let's denote the length of the hypotenuse as 'c' and the lengths of the two other sides as 'a' and 'b'. According to the theorem:
c^2 = a^2 + b^2
Given that one side length is 8 and the other side length is 15, we can substitute these values into the equation:
c^2 = 8^2 + 15^2
c^2 = 64 + 225
c^2 = 289
To find the length of the hypotenuse 'c', we need to find the square root of 289:
c = √289
c = 17
Therefore, the length of the hypotenuse in the given right triangle is 17.
If a right triangle has side lengths of 8 and 15, how long is the hypotenuse
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