Find the area of a right-angled triangle if the hypotenuse is 24 cm, leg 18.

To find the area of a right-angled triangle, we will apply the formula:

S = 1/2 * a * b;

The area of a right-angled triangle is equal to half the product of the legs of the triangle.

We also know that the hypotenuse of the triangle is 24 cm, and one of the legs is 18 cm. We need to calculate the length of the second leg.

To do this, apply the Pythagorean theorem:

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

a ^ 2 = √ (c ^ 2 – b ^ 2) = √ (24 ^ 2 – 18 ^ 2) = √ (576 – 324) = √252 = 6√7 cm length of the second leg.

S = 1/2 * 18 * 6√7 = 54√7 cm ^ 2 area of a triangle.