Question

Construct $△LMN$ in which base $MN=7cm$, $\angle LMN={75}^{\circ }$ and $LM+LN=9cm.$

Answer 1

1. Draw $MN=5cm$.

2. Construct $\angle M={75}^{\circ }$ and produce it to $Y.$

3. Cut off line segment $MO=9cm$ on $MY.$

4. Join $N-O.$

5. Draw a perpendicular bisector of $NO$ such that it intersects $MY$ at $L.$

6. Join $L-N.$

7. $LMN$ is the required triangle.