One of the legs of a right-angled triangle is 12cm, and the hypotenuse is 13cm. Find the second

One of the legs of a right-angled triangle is 12cm, and the hypotenuse is 13cm. Find the second leg and the area of the triangle.

From the condition of the problem, we know what the length of the hypotenuse and one of the legs of a right triangle is equal to, therefore, to find the length of the second leg, we will use the Pythagorean theorem.

Let the length of the second leg be x cm, then we get the following equation:

13² = 12² + x²,

x² = 169 – 144,

x² = 25,

x = 5 (cm).

As you know, the area of a right-angled triangle is:

S = a * b / 2, where a and b are the legs of this triangle.

Let’s find the area of this triangle:

S = 12 * 5/2 = 60/2 = 30 (cm²).