Question

Construct a triangle $PQR$ in which $QR=4.8cm,\angle Q={45}^{\circ }$ and $\angle R={55}^{\circ }$

Answer 1

Steps of Construction:
(i) Draw a line segment which is sufficiently long using ruler.
(ii) Locate points $Q$ and $R$ on it such that $QR=4.8cm$.
(iii) Construct a line segment $QA$, sufficiently large, such that $\angle Q=45˚$ ;Construct a line segment $RB$, sufficiently large, such that $\angle R=55˚$, use protractor to measure
(iv) Extend $QA$ and $RB$ to intersect at $P$.
Then $PQR$ is the required triangle