Question

If the lengths of the sides of a triangle are in the ratio 5 : 12 : 13; then the triangle is a ______.

Options

• acute-angled triangle

• scalene triangle

• scalene right-angled triangle

• obtuse-angled triangle

Answer 1

If the lengths of the sides of a triangle are in the ratio 5 : 12 : 13; then the triangle is a scalene right-angled triangle.

Explanation:

Since the side lengths satisfy the condition 5² + 12² = 13², the triangle is a right-angled triangle. Furthermore, because all three sides have different lengths, it is a scalene triangle.