In a triangle, the length of the hypotenuse is 10 cm and one of the legs is 6 cm. Find the length of the other leg.
Correct: A
We can use the Pythagorean theorem to solve this problem. Let's denote the length of the other leg as x. The Pythagorean theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b): c^2 = a^2 + b^2. In this case, c = 10 cm and a = 6 cm. Plugging these values into the equation, we get 10^2 = 6^2 + x^2, which simplifies to 100 = 36 + x^2. Subtracting 36 from both sides gives us x^2 = 64. Taking the square root of both sides, we find x = 8 cm.