NEED help with this question (Volume XIV):
#19, Page 25:
An equilateral triangle with a side of 26 is perfectly inscribed in a circle. What is the area of the circle?
Okay, we went over this one in class. I understand that equilateral means that all sides are equal, and all sides are 60 degrees.
However, when we went over this in class, we drew the triangle from the bottom of the main equilateral triangle. I am guessing we were trying to draw a triangle within a triangle to somehow assess the radius (since we needed the area of the circle).
My confusion is simply this: How did we know to do that in such a manner? What is the rule and or method here? Many in my class were confused on this, but the teacher kind of glossed over it. If you could give me a step by step method, I would REALLY appreciate it.