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Two right-angled triangles and have
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
Two right-angled triangles
△
A
B
C
\triangle ABC
△
A
B
C
and
△
D
E
F
\triangle DEF
△
D
E
F
have
∠
C
=
∠
F
=
90
∘
\angle C = \angle F = 90^{\circ}
∠
C
=
∠
F
=
9
0
∘
,
A
C
=
D
F
=
8
cm
AC = DF = 8\,\text{cm}
A
C
=
D
F
=
8
cm
and
B
C
=
E
F
=
6
cm
BC = EF = 6\,\text{cm}
B
C
=
E
F
=
6
cm
. Which of the following must be true? (a)
A
C
=
D
E
AC = DE
A
C
=
D
E
(b)
A
B
=
D
E
AB = DE
A
B
=
D
E
(c)
A
B
=
D
F
AB = DF
A
B
=
D
F
(d)
B
C
=
D
F
BC = DF
B
C
=
D
F
Related theory
Pythagoras' Theorem
Triangle Properties
Triangle Congruence
Triangle Congruence Criteria
Triangles
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