Question

In triangle ABC, DE||BC if AD=6cm, DB=9 cm and AE=8cm find AC.​

Answer 1

Answer:

this is the first final ans..It is all about Thales theorem

Answer 2

The correct answer 20 cm.

Given: AD = 6cm, DB = 9cm, AE = 8cm.

To Find: Length of AC.

Solution:

Refer to the attachment for figure.

By Thales Theorem,

$\frac{AD}{DB}=\frac{AE}{EC}$

$\frac{6}{9} =\frac{8}{EC}$

6 EC = 72

EC = 12

Therefore, AC = AE + EC

= 8 + 12

= 20cm.

Hence, the length of AC is 20 cm.

#SPJ3