If the bisector of an angle of a triangle bisects the opposite side then the triangle is ______.

Question

KollegeApply · Accepted Answer

If the bisector of an angle of a triangle bisects the opposite side then the triangle is isosceles. Explanation: Let AD be the bisector of $\angle$A of ΔABC such that BD = DC. Then, (AB)/(AC) = (BD)/(DC) = 1 $\Rightarrow$ AB = AC So, the given triangle is isosceles. [Solution diagram: 469675_solution_1.png]

AChoose Your Answer