Question

Construct a triangle $XYZ$ in which $XY=4.5cm$ and $\angle X={100}^{\circ }$ and $\angle Y={50}^{\circ }$ using ruler and protractor.

Answer 1

Steps of construction

1. Draw a line segment that is sufficiently long enough using a ruler.

2. Locate the points $X$ and $Y$ on it such that $XY=4.5cm$.

3. Construct a ray $\overrightarrow{XP}$ such that $\angle PXY={100}^{\circ }$ using protractor and ruler.

4. Similarly, construct a ray $\overrightarrow{YQ}$ such that $\angle XYQ={50}^{\circ }$.

5. The rays $\overrightarrow{XP}$ and $\overrightarrow{YQ}$ to intersect at $Z$.

Then $XYZ$ is the required triangle.