Question

Construct $\text{△XYZ}$ in which $\text{XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm}$

Answer 1

In $\text{△XYZ}$,

$$\begin{gathered} \text{XY = 4.5 cm} \\ \text{YZ = 5 cm} \\ \text{ZX = 6 cm} \end{gathered}$$

Let's construct $\text{△XYZ}$, using the above information -

Step 1: Draw the line segment $\text{XY = 4.5 cm}$ using the ruler -

Step 2: Take an arc of radius $\text{6 cm}$ on the compass and draw an arc from point$\text{X}$, then the change the arc radius to $\text{5 cm}$ and draw another arc from point$\text{Y}$, which intersects the previous arc at $\text{Z}$ -

Step 3: Join $\text{XZ and YZ}$ to get the required triangle -

Hence, $\text{△XYZ}$ is the required triangle.