Question

If a right triangle has legs measuring to ten centimeters and 24 centimeters how long is the hypnotenusr

Answer 1

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 equals the sum of the squares of the lengths of the other two sides.

In this case, the legs of the right triangle measure 10 centimeters and 24 centimeters.

Using the Pythagorean theorem:

hypotenuse^2 = leg1^2 + leg2^2

Let hypotenuse = c, leg1 = a, and leg2 = b.

c^2 = a^2 + b^2

Substituting the given measurements:

c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676

Taking the square root of both sides:

c = √676
c = 26

Therefore, the length of the hypotenuse in this right triangle is 26 centimeters.