Question

Construct an equilateral triangle each of whose altitudes measures 6 cm.

Answer 1

1.Draw any line l.
2.Take any point M on it and draw  a line p perpendicular to l.
3.With M as centre, cut off MC = 6 cm
4.At C, with initial line CM construct angles of measures 30° on both sides and let these lines intersect line l in A and B. Thus, ΔABC is the required triangle.

Answer 2

draw the prependicular bisector of 12 cm