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Tick the correct answer and justify: In ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm. The angle B is: (A) 120° (B) 60° (C) 90° (D) 45° Q.17

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What is the best solution for the question of Chapter of Triangles of exercise 6.5 of ncert 10th math, of question no.17, Please give me the best way to solve this problem in easy way, Tick the correct answer and justify: In ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm. The angle B is: (A) 120° (B) 60° (C) 90° (D) 45°

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  1. Given, in ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm.

    Triangles Exercise 6.5 Answer 17

    We can observe 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 (C).

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