Calculate the length of the leg of a right-angled triangle if the length of its hypotenuse is 13 cm

Calculate the length of the leg of a right-angled triangle if the length of its hypotenuse is 13 cm, and the length of the other leg is 1 cm less than the length of the hypotenuse?

From the condition, we know that we are given a right-angled triangle. The length of its hypotenuse is 13 cm, and the length of the other leg is 1 cm less than the length of the hypotenuse. We need to find the length of the leg of a right-angled triangle.

Let’s find the length of the second leg. To do this, we subtract 1 cm from the length of the hypotenuse and get:

13 cm – 1 cm = 12 cm length of the second leg.

Next, we will use the Pythagorean theorem. Which says that the square of the hypotenuse is equal to the sum of the squares of the legs.

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

x ^ 2 + 12 ^ 2 = 13 ^ 2;

x ^ 2 = 169 – 144;

x ^ 2 = 25;

x = 5 cm leg length.