Question

Construct a triangle $ABC$ in which $AB=6.5cm,\angle A={45}^{\circ }$ and $\angle B={60}^{\circ }$

Answer 1

Steps of Construction:
i) Draw a line segment that is sufficiently long using a ruler.

(ii) Locate points A and B on it such that $AB=6.5cm$.

(iii) Construct a line segment AD, sufficiently large, such that $\angle A=45˚$
Construct a line segment BE, sufficiently large, such that $\angle B=60˚$ use a protractor to measure

(iv) Extend $AD$ and $BE$ to intersect at $C$.

$\Rightarrow$ $ABC$ is the required triangle