Find the area of a right-angled triangle if its leg and hypotenuse are 18 and 30, respectively.

The area of a right-angled triangle is half the product of the legs. By the condition of the problem, the leg and hypotenuse are known. Using the Pythagorean theorem – the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, we find the second leg. The square of the leg is = 30 ^ 2 – 18 ^ 2 = 900 – 324 = 576, the leg is – 24. Find the area of the triangle: S = 18 * 24/2 = 432/2 = 216.
Answer: The area of a right-angled triangle is 216.