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23 September, 12:26

Given: AR ⊥ RS, TS ⊥ RS, AT=26, RS=24, AR=12

Find: TS

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  1. 23 September, 12:40
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    Solution -

    drawing a perpendicular from AQ to TS, we get a right angle triangle AQT

    Using Pythagoras Theorem,

    AT² = AQ² + QT²

    ⇒26² = 24² + QT² (∵ Due to symmetry AQ = RS)

    ⇒QT² = 676-576 = 100

    ⇒QT = 10

    As TS = QT + QS = 12 + 10 = 22 (∵ Due to symmetry AR = QS)

    ∴ TS = 22 (ans)
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