The Question: Draw a triangle, with all its vertices on a circle, that meets the given conditions. If it is impossible, explain why. Conditions: An isosceles triangle with two sides that are radii of the same circle.
The book answer is as follows: Such a triangle cannot be drawn, since the intersection of the two radii--the center of the circle--is not on the circle.
?? I'm really confused. An isosceles triangle has 2 congruent sides. All radii of a circle are congruent. The center of the circle, is well, at the center of the circle. I can't figure out how or why this isn't doable. Is the book wrong?
Thanks for any help with this.
The book answer is as follows: Such a triangle cannot be drawn, since the intersection of the two radii--the center of the circle--is not on the circle.
?? I'm really confused. An isosceles triangle has 2 congruent sides. All radii of a circle are congruent. The center of the circle, is well, at the center of the circle. I can't figure out how or why this isn't doable. Is the book wrong?
Thanks for any help with this.