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Points A, B and C represent position of three towers such that AB = 60 m, BC = 73 m and CA = 52 m. Taking a scale of 10 m to 1 cm, make an accurate drawing of △ABC. Find by drawing, the location of a point which is equidistant from A, B and C, and its actual distance from any of the towers.

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Answer

Construct the triangle ABC with given conditions.

Construct perpendicular bisectors of all the three sides of triangle.

Points A, B and C represent position of three towers such that AB = 60 m, BC = 73 m and CA = 52 m. Taking a scale of 10 m to 1 cm, make an accurate drawing of △ABC. Find by drawing, the location of a point which is equidistant from A, B and C, and its actual distance from any of the towers. Locus, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

From figure we see,

FG = Perpendicular bisector of AB.

DE = Perpendicular bisector of AC.

HI = Perpendicular bisector of BC.

These bisectors meet each other at point P. Hence, point P is at equal distance from point A,B and C.

By measuring BP = 37 m.

Hence, the distance of each tower is nearly 37 m.

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