In a right-angled triangle, the hypotenuse is 10 cm and one of the other sides is 6 cm. What is the area of the triangle?
Correct: B
Using the Pythagorean theorem, we can find the length of the other side: a^2 + b^2 = c^2, where c = 10 cm and one of the sides, say a, is 6 cm. So, 6^2 + b^2 = 10^2. This gives us b^2 = 100 - 36 = 64, hence b = 8 cm. The area of a right-angled triangle can be found using the formula: Area = 1/2 * base * height. Here, the base and height are the two sides that form the right angle, so Area = 1/2 * 6 * 8 = 24 square cm.