Q10 of 59 Page 152

Construct an equilateral triangle of height 4.3 cm.

An equilateral triangle has all its angles 60° and all sides are equal


In an equilateral triangle, the altitude dropped from a vertex on its opposite side is also its angle bisector and each angle is 60° using this property we are going to construct the triangle


Step1: construct a line segment XY and consider a point M on it and using protractor draw a line perpendicular to XY passing through M



Step2: as the altitude is 4.3 cm mark point A above M at 4.3 cm



Step3: now using protractor draw lines at angles at 30° to the left of A and 30° to the right of A and mark the intersection points with line XY as B and C respectively thus required ΔABC is ready



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