What is the area of a right-angled triangle with a hypotenuse of 25 and one of the legs 24?

We calculate the area of a right-angled triangle with a hypotenuse of 25 and one of the legs 24. There are different ways to find the area of a right triangle, but we will find the area of a right triangle using the legs. In order to find the area using the legs, we need to find another leg of the right triangle using the Pythagorean theorem:

a ^ 2 + 24 ^ 2 = 25 ^ 2;

a ^ 2 = 625 – 576;

a ^ 2 = 49;

a = 7.

Now, let’s find the area of a right-angled triangle:

S = a * b / 2;

S = 7 * 24/2 = 7 * 12 = 84.

Answer: 84.