Question

In the following figure, AE = 20 cm, BD = 2 cm, AB = 30 cm and ∠ADE = ∠ACB. The length of side AC is _____.
(Give your answer correct to one decimal place)

       



Answer​

Answer 1

In triangle ABC,

Proof -AB / DB = AE / EC - (Given)

DE BC - ( Converse of thales

ADE = ABC

( corresponding angles )

Then , ADB = ABC = angle ABC

Base angles are equal then

AB = AC

So, triangle ABC is an isosceles .

triangle