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Byju's Answer
Standard IX
Mathematics
The Mid-Point Theorem
in the figure...
Question
in the figure AD IS THE MEDIAN OF A TRIANGLE ABC AND AM perpendicularTO BC. prove that AC square + AB SQUARE = 2AD SQUARE + .5BC SQUARE
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Similar questions
Q.
(1)
In Figure,
A
D
is a median of a triangle
A
B
C
and
A
M
⊥
B
C
.
Prove that :
(
i
)
A
C
2
=
A
D
2
+
B
C
×
D
M
+
(
B
C
2
)
2
(2)
In Figure,
A
D
is a median of a triangle
A
B
C
and
A
M
⊥
B
C
.
Prove that :
(
i
i
)
A
B
2
=
A
D
2
−
B
C
×
D
M
+
(
B
C
2
)
2
(3)
In Figure,
A
D
is a median of a triangle
A
B
C
and
A
M
⊥
B
C
.
Prove that :
(
i
i
i
)
A
C
2
+
A
B
2
=
2
A
D
2
+
1
2
B
C
2
Q.
In the given figure,, ABC is a triangle, right angled at B. If BCDE is a square on side BC and ACFG is a square on AC, prove that AD = BF.