Question

Construct a triangle whose perimeter is $6.4cm$, and angles at the base are ${60}^{\circ }and{45}^{\circ }$ .

Answer 1

Steps of construction :

(i) Draw a line segment $PQ=6.4cm.$

(ii) At $P,$ draw a ray $PX$ making an angle of ${60}^{\circ }$ and at Q, a ray QY making an angle of ${45}^{\circ }$.

(iii) Draw the bisector of $\angle Pand\angle Q$ meeting each other at A.

(iv) Draw the perpendicular bisectors of $PA$ and $QA$ intersecting $PQ$ at $B$ and $C$ respectively.

(v) Join $AB$ and $AC.$

$△ABC$ is the required triangle.