Question

In ΔABC, AB = `6sqrt(3)` cm, AC = 12 cm and BC = 6 cm. Then, ∠B is ______.

विकल्प

• 45°

• 60°

• 90°

• 120°

Answer 1

In ΔABC, AB = `6sqrt(3)` cm, AC = 12 cm and BC = 6 cm. Then, ∠B is 90°.

Explanation:

In ΔABC, AC is the longest side.

`AB^2 + BC^2 = {(6sqrt(3))^2 + 6^2} cm^2`

= (108 + 36) cm²

= 144 cm²

= (12 cm)²

= AC²

∴ By the converse of Pythagoras' theorem, we have ∠B = 90°.