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In any triangle
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
In any triangle
A
B
C
ABC
A
B
C
, show that
A
B
2
+
A
C
2
=
2
(
A
D
2
+
B
D
2
)
AB^2 + AC^2 = 2(AD^2 + BD^2)
A
B
2
+
A
C
2
=
2
(
A
D
2
+
B
D
2
)
where,
D
D
D
is the middle point of
B
C
BC
B
C
.
Related theory
Properties of Triangles
Triangle Properties
Mid-point theorem
Triangles
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