Question
Construct a triangle whose perimeter is $6.4\ cm$, and angles at the base are $60^\circ$ $45^\circ$.
✓
Answer
Steps of construction:
$1.$ Draw a line segment $XY$ of $6.4\ cm$.
$2.$ Draw $\angle\text{DXY}=60^\circ$ and $\angle\text{EYX}=45^\circ.$
$3.$ Draw the angle bisectors of $\angle\text{DXY}$ and $\angle\text{EYX}$ which intersect each other at $A$.
$4.$ Draw the perpendicular bisector of $AX$ and $AY$ which intersect $XY$ at $B$ and $C$ respectively.
$5.$ Join $AB$ and $AC$.
Hence $\triangle\text{ABC}$ is the required triangle.
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