Question

Consider isosceles triangle $ABC$, in which $\angle ABC=\angle ACB$ ,then which of the two sides are similar?

• A. $AB=AC$
• B. $AB=BC$
• C. $AC=BC$
• D. All of the above

Answer 1

The correct option is A $AB=AC$

Here, $△ABC$ is an isosceles triangle.

Given, $\angle ABC=\angle ACB$.

We know, by isosceles triangle property, angles opposite to equal sides are equal.

Thus, if $\angle ABC=\angle ACB$, then $AB=AC$ (as $\angle ACB$ is opposite to side $AB$ and $\angle ABC$ is opposite to side $AC$).

Hence, option $A$ is correct.