Question

in triangle PQ=PR and QL=MR prove that PL=PM

Answer 1

In triangle PQR , PQ=PR
so,. angle PQR = angle PRQ
angle PQL=angle PRM ------------1
Consider triangle PQL and PRM
PQ=PR (given)
angle PQL = angle PRM (From eq 1)
QL=RM
By SAS, triangle PQL( CONGRUENT) triangle PRM
By CPCT, PL=PM

Answer 2

given
PQ=PR
then the
angels Q and R will be same.... equal sides therom
and then
QL =MR
then
the angle L and M will also same .....same ratio therom
and if the angle L and M is same
then
PL=PM. ..... opposite sides of same angle..