Question

if a right triangle has side lengths of 8 and 15 what is the hypotenuse?

Answer 1

To find the hypotenuse of a right triangle, we can use 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).

So, for this right triangle, we have:

a = 8
b = 15

Using the Pythagorean theorem, we can find the value of c:

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, we get:

c = √289
c = 17

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