Question
Construct an equilateral triangle using the given data: Altitude $AD = 5 \ cm$
✓
Answer
Altitude $AD = 5 \ cm$
Steps of construction:
$1.$ Draw a line segment $PQ$ of any length.
$2.$ Through a point $D$ on $PQ,$ draw $AD$ perpendicular to $PQ$ such that $AD = 5 \ cm.$
$3.$ Through $A,$ draw $AB$ and $AC$ making angles equal to $30^\circ $ with $AD$ and meeting $PQ$ at $B$ and $C$ respectively.
Thus, $\text{ABC}$ is the required triangle.
Steps of construction:
$1.$ Draw a line segment $PQ$ of any length.
$2.$ Through a point $D$ on $PQ,$ draw $AD$ perpendicular to $PQ$ such that $AD = 5 \ cm.$
$3.$ Through $A,$ draw $AB$ and $AC$ making angles equal to $30^\circ $ with $AD$ and meeting $PQ$ at $B$ and $C$ respectively.
Thus, $\text{ABC}$ is the required triangle.
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