Question

In the triangle ABC, D is a point on the line segment BC such that AD = BD = CD. The measure angle BAC is :-

• A. ${60}^{\circ }$
• B. ${75}^{\circ }$
• C. ${90}^{\circ }$
• D. ${120}^{\circ }$

Answer 1

Answer: (C)

${90}^{\circ }$

The point that is equidistant from all the $3$ vertices is known as Circumcenter.

Here the point $D$ is circumcenter .

The only Triangle with circumcenter on one of its side is Right angled triangle,

So $\angle BAC={90}^{\circ }$