Question

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

Answer 1

Steps of construction :

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

(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.