Question

In ∆ABC, D & E are points on side AB and AC respectively such that DE|| BC. If AD = 1.5 cm, BD = 3 cm and AE = 1 cm, then find CE ?​

Answer 1

Answer:

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Step-by-step explanation:

The basic proportionality theorem states that if a line is drawn parallel to one side of a 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=6 cm, DB=9 cm and AE=8 cm.

Using the basic proportionality theorem, we have

AB

AD

=

AC

AE

=

BC

DE

⇒

AB

AD

=

AC

AE

⇒

15

6

=

AC

8

⇒6AC=15×8

⇒6AC=120

⇒AC=

6

120

=20

Hence, AC=20 cm.

Answer 2

Answer:

AC=20 cm is the correct answer