the two shorter sides in a right triangle measiures 10 cm and 24 cm. wjhat is the length of the hypotenuses of the triangle

Answer 1

To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem 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 other two sides.

Let's call the length of the hypotenuse "c" and the lengths of the other two sides "a" and "b". According to the problem, the two shorter sides measure 10 cm and 24 cm, so a = 10 cm and b = 24 cm.

Using the Pythagorean theorem, we have:

c^2 = a^2 + b^2

Substituting the given values, we get:

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

Taking the square root of both sides, we find:

c = √676
c = 26 cm

Therefore, the length of the hypotenuse of the triangle is 26 cm.