Given are the steps to construct an equilateral triangle, with help of a compass, when the length of altitude is given. Arrange the steps.i.Draw a line AB of any length. At any point P on AB, draw a perpendicular PQ equal to altitude length givenii.Draw bisectors of CE and CF to intersect AB at R and T respectively.QRT is required triangleiii.With center Q and any radius, draw an arc intersecting PQ at Civ.With center C and the same radius, draw arcs cutting the 1st arc at E and F

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Geometrical Construction topics include: Parallel & perpendicular lines construction, drawing regular polygons and tangents, ellipse construction, parabola and hyperbola construction, cycloidal curves and spiral construction. Geometric construction is the process of creating geometric objects using a compass and a straightedge. It is a part of pure geometry, which does not use numbers, formulae, or a coordinate system.  Geometric construction involves drawing lines, line segments, shapes, circles, and other figures accurately using a ruler, a compass, or a protractor.  Related... Show more

Given are the steps to construct an equilateral triangle, with help of a compass, when the length of altitude is given. Arrange the steps.<br />i.Draw a line AB of any length. At any point P on AB, draw a perpendicular PQ equal to altitude length given<br />ii.Draw bisectors of CE and CF to intersect AB at R and T respectively.QRT is required triangle<br />iii.With center Q and any radius, draw an arc intersecting PQ at C<br />iv.With center C and the same radius, draw arcs cutting the 1st arc at E and F