Question

If a right triangle has leg lengths of √10 and 4, find the length of the hypotenuse.

√116
√50
√26

Answer 1

To find the length of the hypotenuse, you 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 two other sides.

So in this case, if the leg lengths are √10 and 4, you can use the formula:

hypotenuse^2 = (√10)^2 + 4^2
hypotenuse^2 = 10 + 16
hypotenuse^2 = 26

Taking the square root of both sides gives the length of the hypotenuse:

hypotenuse = √26

Therefore, the length of the hypotenuse is √26.