Question

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

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

Answer 1

The correct option is C

AB > AP

$AP\perp BC$

$⟹△APB$ is a right-angled triangle.

$⟹$ AB is the hypotenuse and hence the longest side, which makes is greater than AP.

$\therefore AB>AP$