Show the conjecture is false by finding a counterexample.
1. If the three corners of a triangle all touch the same circle, the sides of the triangle must be of equal length.
2006-08-22 11:52:14 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help
Consider a circle where the triangle is only in the top half. That gives you a long base (bisecting the circle) and two short sides.
2006-08-22 11:59:40 · answer #1 · answered by Nass 4 · 0⤊ 0⤋
well, think of a triangle that is really LONG at its bottom, and short little sides that still touch the circle! or even a circle, with a diameter as the bottom of a triangle, and the sides are much shorter and touch at the top. therefore, they all touch the sides but are not equal in lenghth!
2006-08-22 18:54:25 · answer #2 · answered by sasmallworld 6 · 0⤊ 0⤋
if all four corners of a square touch a circle they all sides must be equal in lenghth its just like drawing a circle around a triangle so that all sides touch, get it.
2006-08-22 18:55:17 · answer #3 · answered by JOJO 2 · 0⤊ 0⤋