# Tick the correct answer and justify: In ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm. The angle B is - Mathematics

MCQ

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

AB2 = 108

AC2 = 144

And, BC2 = 36

AB2 +BC2 = AC2

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°.

Concept: Right-angled Triangles and Pythagoras Property
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#### APPEARS IN

NCERT Class 10 Maths
Chapter 6 Triangles
Exercise 6.5 | Q 17 | Page 151