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Is right-angled at and is right-angled at
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
△
L
M
N
\triangle LMN
△
L
M
N
is right-angled at
M
M
M
and
△
P
Q
R
\triangle PQR
△
P
QR
is right-angled at
Q
Q
Q
. If hypotenuse
L
N
=
P
R
LN = PR
L
N
=
P
R
, which one of the following additional equalities is sufficient to conclude that
△
L
M
N
≅
△
P
Q
R
\triangle LMN \cong \triangle PQR
△
L
M
N
≅
△
P
QR
? (a)
∠
L
=
∠
P
\angle L = \angle P
∠
L
=
∠
P
(b)
M
N
=
Q
R
MN = QR
M
N
=
QR
(c)
L
N
=
P
Q
LN = PQ
L
N
=
P
Q
(d)
L
M
=
P
Q
LM = PQ
L
M
=
P
Q
Related theory
Triangle Congruence
Triangle Congruence Criteria
Additional congruence criteria (RHS)
Triangles
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