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Question

In the figure PSQ=90,
PQ = 10 cm, QS = 6 cm & RQ = 9 cm.
Calculate the length of PR (in cm).


  1. 17

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Solution

The correct option is A 17

Given that,
PSQ=90,
PQ = 10 cm, QS = 6 cm and RQ = 9 cm.

In the right-angled triangle ΔPSQ,

PQ2=PS2+QS2
[By Pythagoras theorem]

102=PS2+62

PS2=10036

PS2=64

PS=8 cm

Now, in the right-angled triangle ΔPSR,

PR2=PS2+RS2
[By Pythagoras theorem]

PR2=82+152
[Since RS=RQ+QS=9+6=15]

PR2=64+225

PR2=289

PR=17 cm


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