Question

In ∆ABC, AB = `6sqrt(3)` cm, AC = 12 cm, and BC = 6 cm then m∠A = ?

Options

• 30°

• 60°

• 90°

• 45°

Answer 1

30°

Explanation:

We know that, `6 = 1/2(12)`

And `6sqrt(3) = sqrt(3)/2 (12)`

∴ `BC = 1/2 AC` and `AB = sqrt(3)/2 AC` 

∴ ∠A = 30°  ...(Converse of 30° - 60° - 90° theorem)