Login/Sign Up
Home » If the bisector of an angle of a triangle bisects the opposite side, then the triangle is (a) scalene (b) equilateral (c) isosceles (d) right-angled
If the bisector of an angle of a triangle bisects the opposite side, then the triangle is (a) scalene (b) equilateral (c) isosceles (d) right-angled
CBSE | Class 10 | Exercise MCQ | Maths | RS Aggarwal | Triangles
If the bisector of an angle of a triangle bisects the opposite side, then the triangle is (a) scalene (b) equilateral (c) isosceles (d) right-angled

Correct Answer: (c) isosceles

Explanation:

 

 

 

Let AD be the angle bisector of angle A in triangle ABC.

Applying angle bisector theorem,

\begin{array}{l} \frac{{AB}}{{AC}} = \frac{{BD}}{{DC}}\\ \end{array}

Given,

AD bisects BC.

BD = DC

\begin{array}{l} \frac{{AB}}{{AC}} = 1 \end{array}

AB = AC

The triangle is isosceles.

i

More Material