In ∆ABC , DE||BC and AD=4cm , AB=9cm, AC=13.5cm, then the value of AE is *
a) 7.5cm
b) 4cm
c) 9cm
d)6cm
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Answer:
Correct option is
A
1
Given, AB= 9 cm, AD= 4 cm, AE=6 cm and EC= 7.5 cm
Ratio of sides:
AB
AD
=
9
4
AC
AE
=
AE+EC
AE
=
6+7.5
6
=
135
60
=
9
4
Using the theorem: If a straight line connects two sides of a triangle and divides these sides proportionally, then this straight line is parallel to the third triangle's side.
We can say, DE || BC
Step-by-step explanation:
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