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Standard VIII
Mathematics
Question
In given figure, AB||DC. Find the value of x.
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Solution
Verified by Toppr
Since the diagonals of trapezium divide each other proportionally.
∴
A
O
O
C
=
B
O
O
D
⇒
3
x
−
19
x
−
5
=
x
−
3
3
⇒
3
(
3
x
−
19
)
=
(
x
−
5
)
(
x
−
3
)
⇒
9
x
−
57
=
x
2
−
8
x
+
15
⇒
x
2
−
17
x
+
72
=
0
⇒
(
x
−
8
)
(
x
−
9
)
=
0
⇒
x
−
8
=
0
or
x
−
9
=
0
⇒
x
=
8
or
x
=
9
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and
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Q2
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