Question

In given figure $C$ is centre of circle. $AO$ and $BO$ are tangents to circle. $CM\perp AB$.

If $AC=AB=6cm$, then $ABC$ is _______ triangle.

• A. an isosceles
• B. a scalene
• C. an equilateral
• D. None of the above

Answer 1

Answer: (C)

an equilateral

In given figure

C is the centre of the circle.

$\therefore CA=CB=$ radii of the circle

$\therefore △ABC$ is isosceles.

But, $CA=AB$ ....given

$\therefore △ABC$ is an equilateral triangle.