#### Question

Tick the correct answer and justify: In ΔABC, AB = `6sqrt3` cm, AC = 12 cm and BC = 6 cm.

The angle B is:

120°

60°

90°

45°

#### Solution

Given that, AB = `6sqrt3` cm, AC = 12 cm, and BC = 6 cm

It can be observed that

AB^{2} = 108

AC^{2} = 144

And, BC^{2} = 36

AB^{2} +BC^{2} = AC^{2}

The given triangle, ΔABC, is satisfying Pythagoras theorem.

Therefore, the triangle is a right triangle, right-angled at B.

∴ ∠B = 90°

Hence, the correct answer is 90°.

Is there an error in this question or solution?

Solution Tick the correct answer and justify: In ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm. The angle B is Concept: Pythagoras Theorem.