Chapter 12, Problem 8CA

To determine

To write: The proof to verify that the construction of the equilateral triangle shown is valid.

Answer to Problem 8CA

The proof is stated above.

Explanation of Solution

Given:

The given figure is as follows.

  

Calculation:

The steps for sketching the equilateral triangle are as follows.

Step 1: Draw a line segment $\overline{AB}$ .

Step 2: Draw an arc with radius $\overline{AB}$ , and center $A$ .

Step 3: Draw an arc with radius $\overline{AB}$ , and center $B$ , and label the intersecting point by $C$ .

Step 4: Join $\overline{AC}$ and $\overline{BC}$ .

Now check the length of the sides with scale to get all the sides is equal.

Therefore, the proof is stated above.