# The legs of a right triangle are 5 cm and 12 cm, find the perimeter of the rectangle.

September 20, 2021 | education

| It is known from the condition that the legs of a right-angled triangle are 5 cm and 12 cm. In order to find the perimeter of a right-angled triangle, you need to know the lengths of all its sides.

First of all, we need to find the length of the hypotenuse of a right-angled triangle.

For this we will apply the Pythagorean theorem. She says that the sum of the squares of the legs is equal to the square of the hypotenuse.

a² + b² = c²;

Substitute and calculate:

c² = 25 + 144;

c² = 169;

c = 13 cm.

So, we found the length of the hypotenuse.

We are looking for the perimeter by the formula:

P = a + b + c = 5 + 12 + 13 = 30 cm.

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