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AleksandrR [38]
3 years ago
10

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

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

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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