A right triangle has side lengths of 5 feet and 12 feet.what is the length of the hypotenuse

Answer 1

To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem:

a^2 + b^2 = c^2

where a and b are the lengths of the two shorter sides (legs) of the triangle, and c is the length of the hypotenuse.

In this case, a = 5 feet and b = 12 feet.

Plugging in the values:

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

Taking the square root of both sides to solve for c:

c = √169

c = 13

Therefore, the length of the hypotenuse of the right triangle is 13 feet.