Question
In the given figure, two circles are inscribed inside two adjoining triangles.
Given: PR=12, RV=18, PV=10. Find TV.
Given: PR=12, RV=18, PV=10. Find TV.
Answer: Option A
:
A
Let ST=TM=TU=x; UV=VW=y.
Then RS= 18-(2x+y); PW=10-y=PM=PQ.
PR=RQ+PQ= 18-(2x+y)+ (10-y)=12; ⇒ x+y=8. Now, TV=TU+UV=x+y. Hence TV=8.
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:
A
Let ST=TM=TU=x; UV=VW=y.
Then RS= 18-(2x+y); PW=10-y=PM=PQ.
PR=RQ+PQ= 18-(2x+y)+ (10-y)=12; ⇒ x+y=8. Now, TV=TU+UV=x+y. Hence TV=8.
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