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In , . The altitude from meets at . It is given that is the midpoint of…
MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
∠
B
=
90
∘
\angle B = 90^\circ
∠
B
=
9
0
∘
. The altitude from
B
B
B
meets
A
C
AC
A
C
at
D
D
D
. It is given that
D
D
D
is the midpoint of
A
C
AC
A
C
. (i) Prove that
△
A
B
D
≅
△
C
B
D
\triangle ABD \cong \triangle CBD
△
A
B
D
≅
△
C
B
D
. (ii) Hence show that
A
B
=
B
C
AB = BC
A
B
=
B
C
. (iii) Classify
△
A
B
C
\triangle ABC
△
A
B
C
on the basis of its sides.
Related theory
Properties of Triangles
Triangle Properties
Triangle Congruence
Triangle Congruence Criteria
Additional congruence criteria (RHS)
Triangles
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