Find the length of the hypotenuse of a right triangle with legs of 8 and 15.

Answer 1

The length of the hypotenuse can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

Therefore, we have:
c^2 = a^2 + b^2
c^2 = 8^2 + 15^2
c^2 = 64 + 225
c^2 = 289

Taking the square root of both sides to solve for c, we get:
c = sqrt(289)
c = 17

Therefore, the length of the hypotenuse of the right triangle is 17 units.