The legs of a right triangle are 10 and 24 find the hypotenuse of this triangle.

Given:

right triangle ABC

angle С = 90 degrees,

AC and BC – legs,

BC = 10 centimeters,

AC = 24 centimeters

Find the length of the hypotenuse AB -?

Solution:

Consider a right-angled triangle ABC. Therefore, by the Pythagorean theorem (the square of the hypotenuse is equal to the sum of the squares of the legs):

AC ^ 2 + BC ^ 2 = AB ^ 2;

24 ^ 2 + 10 ^ 2 = AB ^ 2;

576 + 100 = AB ^ 2;

676 = AB ^ 2;

AB = √676;

AB = 26 centimeters.

Answer: 26 centimeters.