Question

in triangle ABC if AD/DB=AE/CE then DE||BC this states​

Answer 1

Answer:

converse of BPT

Step-by-step explanation:

Pls mark me as brainliest

Answer 2

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

$\frac{ad}{ab} = \frac{ae}{ac} = \frac{de}{bc}$

⇒

$\frac{ab}{ad} = \frac{ae}{ac}$

$= \frac{6}{15} = \frac{8}{ac}$

⇒6AC=15×8

⇒6AC=120

⇒AC=

$\frac{120}{6}$

$= 20$

Hence, AC=20 cm.

Mark me Brainlist please bhai