Question

Construct a triangle $LMN$ in which $LM=7.8cm,MN=6.3cm$ and $\angle LMN={45}^{\circ }$.

Answer 1

Steps of Construction:

(i) Draw a line segment that is sufficiently long using a ruler.
(ii) Locate points M and N on it such that $MN=6.3cm$.
(iii) At M, construct a line segment MO, sufficiently large, such that $\angle OMN=45˚$ using ruler and protractor.
(iv) With $M$ as centre and radius $7.8cm$, draw the arc cutting $MO$ at $L$ and join $LN$.
$\therefore$ $△LMN$ the required triangle