Find the legs if the hypotenuse is 15 cm and the leg is 12.

From the condition, we know the length of the hypotenuse and one of the legs, respectively, 15 cm and 12 cm.

In order to find the length of the second leg, we will use the Pythagorean theorem.

She says that the square of the hypotenuse is equal to the sum of the squares of the legs.

Using the formula, it looks like this:

a ^ 2 + b ^ 2 = c ^ 2.

Let’s denote by variable x one of the legs and substitute all known values into the formula:

12 ^ 2 + x ^ 2 = 15 ^ 2;

144 + x ^ 2 = 225;

x ^ 2 = 225 – 144;

x ^ 2 = 81;

x = 9.

So, the length of the second leg is 9 cm.

Answer: 9 cm leg length.