Question

A carpenter wants to make a triangular table top using two sides and one angle. The two sides of the table should be $24\text{units and}8\text{units}$ and the angle between the two sides is ${30}^{\circ }$. Identify the correct sequence of the steps to construct the triangle.

1. Draw an angle ${30}^{\circ }$ with the vertex at $A$.

2. Draw $AB=3$ units.

3. Set the scale as $1$ units = $8\text{units}$.

4. Cut an arc of radius $1$ in with $A$ as the center.

5. Join $BC$.

6. Name the third point.

Answer 1

In order to construct the required triangle, we have to follow the steps chronologically.

Step 1: (3) Set the scale as $1$ unit = $8\text{units}$.

Step 2: (2) Draw $AB=3$ units.
Step 3: (1) Draw an angle of ${30}^{\circ }$ with the vertex at $A$.
Step 4: (4) Cut the arc of radius $1$ unit with $A$ as the center.

Step 5: (6) Name the third point $C$.
Step 6: (5) Join $BC$.