Question

The sides of a triangle are 9 cm, 12 cm and 15 cm; the area of the triangle is ______.

Options

• 54 cm²

• 96 cm²

• 108 cm²

• 135 cm²

Answer 1

The sides of a triangle are 9 cm, 12 cm and 15 cm; the area of the triangle is 54 cm².

Explanation:

Since the side lengths satisfy the Pythagorean triplet condition (\[9^2 + 12^2 = 15^2\]), the triangle is a right-angled triangle. Its area can be calculated as \[\frac{1}{2} \times 9 \times 12 = 54\text{ cm}^2\].