sad tuning figure P Q R S and r q angle p q r s p s is equal to 10 cm and PQ is equals to 15 cm find the area of trapezium pqr in draw a steep angle pqr find St using Pythagoras theorem
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Correct option is A)
Given: ∠PSQ=90
∘
PQ=10 cm, QS=6 cm and RQ=9 cm
In △PQS,
PQ
2
=PS
2
+SQ
2
(Pythagoras theorem)
10
2
=PS
2
+6
2
PS
2
=100−36
PS
2
=64
PS=8 cm
Now, In △PRS,
PR
2
=PS
2
+RS
2
(Pythagoras theorem)
PR
2
=PS
2
+(RQ+QS)
2
PR
2
=8
2
+15
2
PR
2
=64+225
PR
2
=289
PR=17 cm
Step-by-step explanation:
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