Question

Construct a triangle whose sides are 4.4 cm, 5.2 cm, and 7.1 cm. Construct its circumcircle. Write also the steps of construction.

Answer 1

Steps of construction:

1) Draw an line segment BC = 5.2
2) With centre B and radius BA = 4.4 cm, draw an arc.
3) With C centre and radius CA = 7.1 cm, draw an arc intersecting the previous arc at A. Then ABC is the given triangle.
4) Draw the perpendicular bisectors of any two sides, say BC and AC, intersecting at O. Then O is the circumference of ΔABC.