Question

Construct the following quadrilateral: Rhombus $\text{BEST. BE = 4.5 cm, ET = 6 cm}$

Answer 1

By the properties of the Rhombus, we know that all the sides of the rhombus are equal.

Let's draw a rough sketch of the rhombus to get an idea of the figure

$$\begin{gathered} \text{BE = ES = ST =TB = 4.5 cm} \\ \text{ET = 6 cm} \end{gathered}$$

Let's construct the rhombus$\text{BEST}$, using the above information -

Step 1: Draw a line segment$\text{ET = 6 cm}$. Take an arc of radius $\text{4 cm}$ from the points $\text{T and E}$ on both sides of the line segment $\text{ET}$ which intersect each other at $\text{S and B}$ -

Step 2: Join $\text{BE, ES, ST and TB}$, to get the required rhombus -

Hence, $\text{BEST}$ is the required rhombus.