in PQR, P=66°, L is the midpoint of side QR, and M and N are the feet of perpendicular drawn from L to PQ and PR respectively. If LM=LN. What is the measure of NLR
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Answer:
Let
m
,
n
,
p
,
q
,
r
and
s
be position vectors of M,N,P,Q,R and S respectively.
M and N are midpoints of PQ and RS
∴
m
=
2
p
+
q
and
n
=
2
r
+
s
PS
+
QR
=
s
−
p
+
r
−
q
=(
r
+
s
)−(
p
+
q
)
=2
n
−2
m
=2(
n
−
m
)
=2
MN
Step-by-step explanation:
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