draw an acute angle, triangle ABC.Construct perpendicular bisector of AB and BC intersecting each other at O.Measure OA,OB and BC.Are they equal.

Step (1) : Draw a acute angled triangle ABC.

Step ( 2) : With C as centre and radius more than half of BC, draw two arcs on opposite side of BC.

Step (3) : With B as centre and the same radius draw two arcs intersecting the pervious arcs at point P and Q respectively.

Step (4) : join PQ.

PQ represents perpendicular bisector of side BC.

Similarly, MN represents perpendicular bisector of side AB.

Now, both perpendicular bisector PQ and MN meets at point O. join and measures OA, OB and OC. then we will get, OA = OB = OC.