In the figure : PSQ = 90°, PQ = 10 cm, QS = 6 cm and RQ = 9 cm. Calculate the length of PR.
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Step-by-step explanation:
It is given that in figure, ∠PSR = 90°, PQ = 10 cm, QS = 6 cm and RQ = 9 cm. First we have to find PS. Here, SR = RQ + QS = (9 cm + 6 cm) = 15 cm and PS = 8 cm. The length of PR is 17 cm.
Answered by
4
Answer:
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
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