Question

In the adjoining figure, $AB=AC$ and $AP\perp BC$

Which of the following options is correct?

• A. AB = AP
• B. AB < AP
• C. AB > AP
• D. AB ≤ AP

Answer 1

The correct option is C

AB > AP

Since $AP$ is perpendicular to side $BC$.

In $△ABP$,

$\angle APB={90}^{\circ }$

So $△ABP$ is a right angled triangle where $AB$ is the hypotenuse.

$\therefore AB>AP$