Construct each of the following and give justification:

An equilateral triangle if its altitude is 3.2 cm.


Steps of Construction:


(i) Draw a ray XY.



(ii) Draw a perpendicular bisector PQ which intersects XY at M.



(iii) Along MP, cut off MA = 3.2 cm.



(iv) Draw an angle of 30° at point A on both sides of AM which intersect MX and MY at B and C, respectively.



Thus, ABC is the required triangle.


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