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In and , and . The following sides are known: and…
MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
and
△
D
E
F
\triangle DEF
△
D
E
F
,
∠
B
=
90
∘
\angle B=90^{\circ}
∠
B
=
9
0
∘
and
∠
E
=
90
∘
\angle E=90^{\circ}
∠
E
=
9
0
∘
. The following sides are known:
A
B
=
D
E
=
6
cm
AB=DE=6\ \text{cm}
A
B
=
D
E
=
6
cm
and
A
C
=
D
F
=
10
cm
AC=DF=10\ \text{cm}
A
C
=
D
F
=
10
cm
. (i) Prove that
△
A
B
C
≅
△
D
E
F
\triangle ABC \cong \triangle DEF
△
A
B
C
≅
△
D
E
F
stating the appropriate congruence criterion. (ii) Calculate the lengths of
B
C
BC
B
C
and
E
F
EF
E
F
.
Related theory
Pythagoras' Theorem
Triangle Properties
Triangle Congruence
Triangle Congruence Criteria
Additional congruence criteria (RHS)
Triangles
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