Question

Using any convenient length for a side, construct an equilateral triangle.

Short answer

$\Delta ABC$ is the equilateral triangle.

Step-by-step solution

Step 1. Given information.

In a triangle, convenient length for a side is given.

Step 2. Concept used.

Take a convenient measure on $\overline{AB}$.

Take $A$as center draw an arc with same measure of $\overline{AB}$.

Point at which both the arcs interest, mark it as $C$.

Draw a segment from $A$to $C$and $B$to $C$.

Step 3. Identify the triangle.

Here in $\Delta ABC$where all sides are equal.

So, it is equilateral triangle.

Step 4. Construct the triangle.

This is how one can constrict an equilateral triangle as shown in the figure below,

Therefore, $\Delta ABC$ is a equilateral triangle.