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Byju's Answer
Standard X
Mathematics
Similar Triangles
∠ ACB=90o and...
Question
∠
A
C
B
=
90
o
and
C
D
⊥
A
B
, prove that
C
D
2
=
B
D
×
A
D
.
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Solution
According to property associated with Altitudes in Right Angled Triangle
The Altitude to Hypotenuse Divides the triangle into
2
Similar triangles
⟹
Δ
A
D
C
≈
Δ
C
D
B
So
C
D
A
D
=
B
D
C
D
⟹
C
D
2
=
B
D
×
A
D
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Q.
In
Δ
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⊥
AC prove that BD
2
+ CD
2
= 2AC.CD.