Change the measurements of the segments and look at the triangle. Will it exist, regardless of segment size? [br][br][br]
In the next structure, check the "Hide / Show sum of triangle side measures" and "Hide / show sum of segment measurements" boxes. Change the measurements of the segments, look at the sums and measurements of the sides. [br]
From what you have noticed, in what condition(s) does the triangle exists?
Using the compass, build a triangle whose sides have the measurements of segments AB, CD, and EF. [br][br]
1-The longest side is opposite the largest angle. In other words, if two [b]sides[br][/b]of a triangle are not congruent, then the [b]angles opposite[/b] them are not congruent and the side opposite to the larger angle is the longer side (search for a demonstration for this). [br]2- The largest angle is opposite the longest side. In other words, if two [b]sides [/b]of a triangle are not congruent, then the [b]angles[/b] opposite them are not congruent and the angle opposite to[br]the longer side is the larger angle (search for a demonstration for this).
Did you understand the proof? If you did not understand, enter your question here. [br]