Question

Construct a triangle $ABC$ in which $BC=5.2cm,\angle B={35}^{\circ }$ and $\angle C={80}^{\circ }$.

Answer 1

Steps of Construction:
(i) Draw a line segment which is sufficiently long using ruler.
(ii) Locate points $B$ and $C$ on it such that $BC=5.2cm$.
(iii) Construct a line segment $BD$, sufficiently large, such that $\angle B={35}^o$;
Construct a line segment $CE$, sufficiently large, such that $\angle C={80}^o$, use protractor to measure the angles.
(iv) Extend $BD$ and $CE$ to intersect at $A$.

Hence, $\Delta ABC$ is the required triangle.