10. In the given figure, QL and RM are altitudes of APQR such that QL = RM.
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Answer:
The correct option is C
Equilateral
In
△
Q
R
L
and
△
Q
R
M
∠
Q
M
R
=
∠
Q
L
R
=
90
o
(Altitude)
QL = RM (Given)
QR is the common side
⇒
△QRL ≅ △QRM (by RHS)
Therefore ∠Q = ∠R (c.p.c.t),
⇒
PQ = PR (sides opposite to equal angles).
Similarly, △PQN ≅ △PQL by RHS,
Therefore ∠Q = ∠P (c.p.c.t),
⇒
PR = QR (sides opposite to equal angles
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