Question

in trapezium pqrs , pq is s 4 cm and we is 6 cm , angle r is 30° and angle s is 60° find sr
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Answer 1

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In △QRS, SR=4 cm and ∠SQR=45oand ∠QRS=90o

Then in △QRS, we have

tan450=PQSR

⇒1=PQ4

⇒PQ=4 cm

In trapezium PQ∣∣VR, then PQ=PT=4 cm

In △PTV, ∠TPV=60o and PT=4 cm

⇒tan600=PTVT

⇒3=4VT

⇒VT=43 cm

But VR=VT+TS+SR, where PQ=TS=6 cm ....given

⇒VR=43+6+4=10+43 cm