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Isosceles triangle AB = AC with D on BC: AB^2 - AD^2 = BD x DC

This type of question, asked 2 times: CDS 2 2021, CDS 1 2026. All 2 questions below, oldest first.

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  1. Question 1 (case study, 2 parts)

    CDS 2 2021

    Consider the following for the next two (02) items that follow : ABCABC is triangle in which AB=ACAB = AC and DD is any point on BCBC.
    84
    Which one of the following is correct ?

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    85
    If AD=5AD = 5 cm, BD=4BD = 4 cm and CD=6CD = 6 cm, then what is ABAB equal to ?

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  2. Question 2

    CDS 1 2026

    48
    ABC is a triangle in which AB=ACAB = AC and D is any point on BC. Which of the following statements is/are correct ? I. AB2−AD2=CD×BDAB^2 - AD^2 = CD \times BD II. BC2+BD2−DC2=2BD×BCBC^2 + BD^2 - DC^2 = 2BD \times BC Select the answer using the code given below :

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