Question

A triangular table needs to be made. The two sides of the table should be $15\text{ft and}5\text{ft}$, respectively, and the angle between the two sides is ${30}^{\circ }$. Identify the correct sequence of steps to construct the triangle.

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

2. Draw $AB=3$ in.

3.Set the scale as $1$ in = $5\text{ft}$.

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

5.Join $BC$.

6.Name the third point.

• A. $3-6-1-4-2-5$
• B. $3-2-1-4-6-5$
• C. $3-6-1-4-2-5$
• D. $3-2-1-5-6-4$

Answer 1

The correct option is B $3-2-1-4-6-5$

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

• Set the scale as $1$ in = $5\text{ft}$.
• Draw $AB=3$ in.

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

• Cut the arc of radius $1$ in with $A$ as the center.
• Name the third point $C$.

• Join $BC$.

Thus, option D is the correct sequence.