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In , points on and on satisfy , , and . If and all lengths are positive, determine…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, points
D
D
D
on
A
B
AB
A
B
and
E
E
E
on
A
C
AC
A
C
satisfy
A
D
=
x
+
1
cm
AD = x + 1\,\text{cm}
A
D
=
x
+
1
cm
,
D
B
=
4
cm
DB = 4\,\text{cm}
D
B
=
4
cm
,
A
E
=
x
2
cm
AE = x^2\,\text{cm}
A
E
=
x
2
cm
and
E
C
=
9
cm
EC = 9\,\text{cm}
E
C
=
9
cm
. If
D
E
∥
B
C
DE \parallel BC
D
E
∥
B
C
and all lengths are positive, determine
x
x
x
. (a) 6 (b)
9
4
\dfrac{9}{4}
4
9
(c) 3 (d) 0.75
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