Multiple Choice Questions on In the adjoining figure if BC a AC b AB c and ang CAB 120 deg then the correct relation is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

In the adjoining figure if BC a AC b AB c and ang CAB 120 deg then the correct relation is ........

Quantitative Aptitude ( CCS) Geometry
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    In the adjoining figure, if BC = a, AC = b, AB = c and ∠CAB = 120° , then the correct relation is :

    a2 = b2 + c2 + 2 bc

    Incorrect Answer

    a2 = b2 + c2 – 2 bc

    Incorrect Answer

    a2 = b2 + c2 + bc

    Correct Answer

    a2 = b2 + c2 – bc

    Incorrect Answer
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    Explanation:

    Since ∠A is an obtuse angle in ? ABC, so
    BC2 = AB2 + AC2 + 2 AB . AD
    = AB2+ AC2 + 2 AB . 1/2AC
    [? AD = AC cos 60° = 1/2AC]
    = AB2 + AC2 + AB . AC
    ∴   a2 = b2 + c2 + bc.

    By: Amit Kumar
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