Question
Construct an equilateral triangle using the given data: Altitude $PM = 3.6 \ cm$
✓
Answer
Altitude $PM = 3.6 \ cm$
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 $PM = 3.6 \ cm.$
$3.$ Through $P,$ draw $PQ$ and $PR$ making angles equal to $30^\circ $ with $PM$ and meeting $ST$ at $Q$ and $R$ respectively.
Thus, $\text{PQR}$ 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 $PM = 3.6 \ cm.$
$3.$ Through $P,$ draw $PQ$ and $PR$ making angles equal to $30^\circ $ with $PM$ and meeting $ST$ at $Q$ and $R$ respectively.
Thus, $\text{PQR}$ is the required triangle.
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