Question

The 3 circles in the diagram have centers A, B, and C. a. Explain why segments AB and AC have the same length.b. Using the figure: Classify triangle ABC.

Answer 1

the distances are equal because it is the radius of each circle

Equilateral triangle

Step 1

Let

the radius of the circle with center A = red line

distance AC=from the A to the edge of the circle= radius of the circle

distance AB=from the A to the edge of the circle= radius of the circle

Step 2

it is equal for the circle with center in C and B

distance CA= radius of circle C

distance AB= radius of circle C

and the same for B,

hence, all sides are equal it is called Equilateral triangle.

I hope this helps you