Question
Construct an equilateral triangle using the given data: Altitude $OM = 5.8 \ cm$
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Answer
Altitude $OM = 5.8 \ cm$
Steps of construction:
$1.$ Draw a line segment $ST$ of any length.
$2.$ Through a point $M$ on $ST,$ draw $PM$ perpendicular to $ST$ such that $OM = 5.8 \ cm.$
$3.$ Through $O,$ draw $OQ $and $OR$ making angles equal to $30^\circ $ with $OM$and meeting $ST$ at $Q$ and $R$ respectively.
Thus, $\text{OQR}$ is the required triangle.
Steps of construction:
$1.$ Draw a line segment $ST$ of any length.
$2.$ Through a point $M$ on $ST,$ draw $PM$ perpendicular to $ST$ such that $OM = 5.8 \ cm.$
$3.$ Through $O,$ draw $OQ $and $OR$ making angles equal to $30^\circ $ with $OM$and meeting $ST$ at $Q$ and $R$ respectively.
Thus, $\text{OQR}$ is the required triangle.
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