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NARA [144]
3 years ago
7

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

Mathematics
2 answers:
Olenka [21]3 years ago
6 0

Answer:

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)

kogti [31]3 years ago
4 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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