Question

In triangle ABC, ∠ABC = 90°, AB = 6 cm, BC = 7.2 cm and BD is perpendicular to side AC. Draw circumcircle of triangle BDC and then state the length of the radius of this circumcircle drawn.

Answer 1

Steps for construction :

1. Draw BC = 7.2 cm.
2. Draw an angle ABC = 90° using compass.
3. Draw BD perpendicular to AC using a compass.
4. Join BD.
5. Draw perpendicular bisectors of BD and BC which intersect at I, where I is the circumcentre of a circle.
6. Draw circumcircle using circumcentre I. we get the radius of a circle is 3.6 cm.