One of the legs of a right triangle is 15 and the hypotenuse is 17 find 2 legs

From the condition we know that the length of one leg of the triangle is 15, and the length of the hypotenuse is 17. Find the length of the second leg of the triangle.

Let’s apply the Pythagorean theorem to calculate the length of the second leg of the triangle.

She says that the Square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of its legs.

In the form of a formula, we write it like this:

c ^ 2 = a ^ 2 + b ^ 2;

Let us express the length of one of the legs from the formula:

a ^ 2 = c ^ 2 – b ^ 2;

a = √ (c ^ 2 – b ^ 2) = √ (17 ^ 2 – 15 ^ 2) = √ (289 – 225) = √64 = 8.