Question

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.
da

Answer 1

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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