Question

Draw a triangle with sides 4 centimetres, 5 centimetres and 6 centimetres and draw its circum-circle.

Answer 1

The dimensions of the required triangle are AB = 4 cm, BC = 5 cm and CA = 6 cm.

The steps of construction are as follows:

1) Draw a line segment AB of length 4 cm.

2) With A as the centre and 5 cm as the radius, draw an arc on the upper side of AB.

3) With B as the centre and 6 cm as the radius, draw an arc cutting the previously drawn arc at point C.

4) Join AC and BC.

ΔABC is the required triangle.

Circumcircle of the triangle can be constructed as follows:

1) Draw perpendicular bisectors of AB and BC such that they intersect at point O.

2) With O as the centre and radius, OA (or OB or OC), draw a circle passing through the points A, B and C.

The given figure shows the circumcircle of ΔABC.