Multiple Choice Questions on A point D is taken from the side BC of a right angled triangle ABC where AB is hypotenuse Then ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

A point D is taken from the side BC of a right angled triangle ABC where AB is hypotenuse Then ........

Quantitative Aptitude ( CCS) Geometry
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    A point D is taken from the side BC of a right-angled triangle ABC, where AB is hypotenuse. Then

    AB2 + CD2 = BC2 + AD2

    Correct Answer

    CD2 + BD2 = 2AD2

    Incorrect Answer

    CD2 + BD2 = 2AD2

    Incorrect Answer

    AB2 = AD2 + BD2

    Incorrect Answer
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    Explanation:


    In ΔABC,
    AB2 = AC2 + BC2         [By pythagoras theorem]
    ⇒  AC2 = AB2 – BC2       ...(i)
    In ΔACD,
    AD2 = AC2 + CD2         [By pythagoras theorem]
    ⇒  AD2 = AB2 – BC2 + CD2       [From eq. (i)]
    ⇒  AB2 + CD2 = BC2 + AD2

    By: Amit Kumar
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