# In a triangle ABC, AB=AC and D is a point on side AC such that BCxBC=ACxCD. How to prove that BD=BC?

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

Given

**Proof**

Rearrenging the given relation

*Their corresponding angle pairs are:*

So as per above **relation 2** we have

**Alternative way**

*The ratio of corresponding sides may be written in extended way as follows*

*From this relation we have*

Proved

Hope, this will help

Describe your changes (optional) 200