Question

Triangle ABC is constructed with BC = 5.5 cm, AB = 5.5 cm and AC = 5 cm. Two angular bisectors are drawn of angle A and C intersected at point O. Drop a perpendicular OD on any of the sides of the triangle. The length of OD is:

• A. 1.3 cm
• B. 1.53 cm
• C. 1.9 cm
• D. 2.2 cm

Answer 1

The correct option is B

1.53 cm

The length of OD is 1.53 cm.

Steps for construction of angular bisector:

1. With one point of the compass on the vertex of the angle, draw an arc that intersects both sides of the angle.
2. Draw an arc from each of these points of intersection so that the arcs intersect in the interior of the angle. The compass needs to stay open the same amount throughout this step.
3. Draw the ray from the vertex of the angle to the intersection of the two arcs drawn during the previous step.