Find the perimeter of a right-angled triangle with legs 8 and 15.

It is known that the perimeter of a triangle (P) is equal to the sum of the lengths of all its sides:

P = a + b + c, where a, b, c are the sides of the triangle.

A right-angled triangle is given, for which legs a = 8, b = 15 are known.

In order to calculate the perimeter of this triangle, it is necessary to calculate the length of the third side (c) – the hypotenuse.

Recall that, by the Pythagorean theorem, c^2 = a^2 + b^2.

Let’s find the hypotenuse:

c^2 = 8^2 + 15^2,

c^2 = 64 + 225,

c^2 = 289.

c = √289,

c = 17.

Now let’s find the perimeter of the given triangle:

P = 8 + 15 + 17 = 40.

Answer: 40.