Find the area of a right-angled triangle, the leg of which is 8 cm, and the hypotenuse is 17 cm.

From the condition it is known that the hypotenuse is 17 cm, and one of the legs is 8 cm.In order to find the area of a right-angled triangle, we will use the following formula:

S = 1/2 * a * b, where a and b are the legs of a right-angled triangle.

Let’s use the Pythagorean theorem to find the length of the second leg.

The square of the hypotenuse is equal to the sum of the squares of the legs.

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

8 ^ 2 + x ^ 2 = 17 ^ 2;

64 + x ^ 2 = 289;

x ^ 2 = 289 – 64;

x ^ 2 = 225;

x = 15 cm.

We are looking for the area of a right-angled triangle:

S = 1/2 * 15 * 8 = 60 cm2.

Answer: 60 cm2.