Question

In triangle PQR,PQ=PR and QL=MR. prove PL=PM

Answer 1

given PQR, PQ=PR,QL=MR
proof :
PQ,=PR(given)
QL=MR(given)
Angle P=Angle P(common side)
there fore PL=PM..

Answer 2

proof
draw a line PS from P to the mid of LM.
SQ=SR(construction)
PQ=PR(given)
<QPS=<SPR
triangle PQS congruent to triangle PRS
Therefore <Q=<R(CPCT)
IN TRIANGLE PSQ AND PSR
PQ=PR(GIVEN)
<Q=<R(CPCT)
QL=MR
TR PQL CON PMR
PL=PM(CPCT)