Question

Construct a ΔABC with AB=5 cm, ∠A=120^o , AC=7cm. Construct a circumcircle of it. Also, measure its circumradius.

Answer 1

Steps of Construction:
1) Draw a line segment AB=5cm.
2) Construct an angle of ${120}^{\circ }$ at point A.
3) Cut off AC=7cm
4) Join BC
5) Draw a perpendicular bisector on sides AB,BC and AC, which meet at point O.
6) Take O as a center with radius OA and draw a circle.
7) We have to measure the radius of the circumcircle, which is 6cm.