bIn the given figure, PQRS is a quadrilateral in which
*Q - *QRS - 90°, PQ - 12 cm, QR-9 cm and PS - 17 cm.
Find the length of SR.
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Answer:
8
Step-by-step explanation:
Given,
PQS = QRS = 90°
PQ = 12cm
QR = 9cm
PS = 17cm
BY PYTHAGORAS THEOREM
i) PS^2 = PQ^2 + QS^2
17^2 = 12^2 + QS^2
289 = 144 + QS^2
289 - 144 = QS^2
QS^2 = 145
QS = √144
ii) QS^2 = QR^2 + RS^2
(√144)^2 = 9^2 + RS^2
144 = 81 + RS^2
144- 81 = RS2
RS^2 = 64
RS = +/- 8
But, length can not be negative
RS = 8
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