2010 · Q57
In the figure given above (acute angle ABC with bisector BL; ML parallel to BC), L is any point on the bisector of the acute angle ABC and the line ML is parallel to BC. Which one of the following is correct ?
Elementary MathematicsGeometry
- AThe triangle BML is equilateral
- BThe triangle BML is isosceles but right-angled
- CThe triangle BML is isosceles but not right-angled
- DThe triangle BML is not Isosceles
Explanation
BL bisects ∠ABC and ML∥BC give ∠LBM=∠LMB, so ΔBML is isosceles (not right-angled).