What is always true about a triangle?
A triangle has 3 sides. A regular triangle has all EQUAL sides. An isosceles triangle has 2 EQUAL sides. A scalene triangle has NO equal sides. Equal = parallel..basically equal and parallel are the same thing, in this conversation.
In a scalene triangle the longest side is opposite the angle with the largest measure true of false?
True. In any triangle, the longest side is always opposite the largest angle; the shortest side is always opposite the shortest angle; and the middle length side is always opposite the middle size angle. In an isosceles triangle, there is no middle length side; and the two sides of equal length are opposite the angles of equal size. In an equilateral triangle, all sides are the same length, as are all the angles.
The converse of "A implies B" is "B implies A". The isosceles triangle theorem states that if two sides of a triangle are the same, then two angles of that triangle are the same. The converse would be: if two angles of a triangle are the same, then two sides of that triangle are the same. The converse of the isosceles triangle theorem also happens to be a provable theorem, but it is not always…