Question

In a right-angled triangle, hypotenuse is 10 cm, and the ratio of the other two sides is 3 : 4; the sides are ______.

Options

• 6 cm and 4 cm

• 8 cm and 6 cm

• 3 cm and 4 cm

• 8 cm and 4 cm

Answer 1

In a right-angled triangle, hypotenuse is 10 cm, and the ratio of the other two sides is 3 : 4; the sides are 8 cm and 6 cm.

Explanation:

Let the other two sides be 3x and 4x. Applying Pythagoras’ theorem, (3x)² + (4x)² = 10², which simplifies to 25x² = 100 or x = 2. Thus, the lengths of the sides are 3(2) = 6 cm and 4(2) = 8 cm.