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Byju's Answer
Standard X
Mathematics
Perpendicular from Right Angle to Hypotenuse Divides the Triangle into Two Similar Triangles
In the adjoin...
Question
In the adjoining figures, the measurements are in centimeter. Find the value of x.
A
6
cm
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B
2
cm
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C
3
cm
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D
8
cm
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Solution
The correct option is
A
6
cm
Given :
∠
D
=
∠
C
and
A
C
=
6
c
m
,
A
D
=
2
c
m
,
B
C
=
2
c
m
and
B
D
=
x
In the figure,
A
B
is the hypotenuse
(
A
B
)
2
=
(
A
C
)
2
+
(
B
C
)
2
=
(
A
D
)
2
+
(
B
D
)
2
∴
(
6
)
2
+
(
2
)
2
=
(
2
)
2
+
x
2
⇒
36
=
x
2
x
=
6
c
m
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0
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Standard X Mathematics
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