In a triangle ABC, D and E are the points on sides AB and A C such that DE is parallel to BC.If AD : DB =2 : 3 and EC =9 cm, then the length of AC will be---
14 cm
6 cm
9/5 cm
15 cm
Answers
Answered by
1
Answer:
triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.
It is given that AD=8 cm, AB=12 cm and AE=12 cm.
Using the basic proportionality theorem, we have
AB
AD
=
AC
AE
=
BC
DE
⇒
AB
AD
=
AC
AE
⇒
12
8
=
AC
12
⇒8AC=12×12
⇒8AC=144
⇒AC=
8
144
=18
Now, CE=AC−AE=18−12=6 cm
Answered by
1
Answer:
6cm
us the answer of the question
Step-by-step explanation:
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