Draw $△$ ABC, where AB = 6cm, BC = 4cm and AC = 7cm. Draw perpendicular bisector of each side of $△$ ABC. In how many points do they intersect one another?

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Solution

Steps of construction:

1. Draw AB = 6 cm.
2. With A as centre and radius 7 cm, draw an arc.
3. With B as centre and radius 4 cm, draw another arc, cutting the previously drawn arc at C.
4. Join AC and BC.
5 Draw perpendicular bisectors of AB, BC and AC, meeting at point P.

The perpendicular bisectors of AB, BC and AC intersect at one point.

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Draw △ABC, where AB = 6cm, BC = 4cm and AC = 7cm. Draw perpendicular bisector of each side of △ ABC. In how many points do they intersect one another?

Draw $△$ ABC, where AB = 6cm, BC = 4cm and AC = 7cm. Draw perpendicular bisector of each side of $△$ ABC. In how many points do they intersect one another?