Construct a triangle $ABC$ such that $BC = 6\ cm, AB = 6\ cm$ and median $AD = 4\ cm$.
Given:
A triangle $ABC$ in which $BC = 6\ cm, AB = 6\ cm$ and median $AD = 4\ cm$.
To do:
We have to construct the given triangle.
Solution:
Steps of construction:
(i) Draw a line segment $BC = 6\ cm$ and bisect it at $D$.
(ii) With centre $B$ and radius $6\ cm$ and with centre $D$ and radius $4\ cm$, draw arcs intersecting each other at $A$.
(iii) Join $AD, AB$ and $AC$.
Therefore,
$\triangle ABC$ is the required triangle.
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