Question

$D$ is a point on the side $BC$ of a $\Delta$ $ABC$, such that $AD$ bisects $\angle$ $BAC$. Then:

• A. $BA=CD$
• B. $BA>BD$
• C. $BD>BA$
• D. $CD>CA$

Answer 1

The correct option is B $BA>BD$

The definition of the angle bisector of a triangle is a line segment that bisects one of the vertex angles of a triangle. In general, an angle bisector is equidistant from the sides of the angle when measured along a segment perpendicular to the sides of the angle

Hence, by definition,$BD+DC=BC$

Therefore, $BA>BD$