Unique triangle, more than one triangle no triangle worksheet

A unique triangle can be formed if: you are given two sides and the angle between these sides (SAS) you are given three sides and the sides satisfy the triangle inequality theorem (SSS) you are given two angles that do not add to more than 180∘ and the side between these angles (ASA)

Unique triangle (only one possible triangle).... Given sides: If the sum of the two shorter sides is greater than the longest side, there is one, unique triangle. Given angles: There are no unique triangles when given all three angles. Not Unique (more than one possible triangle)...

In general, a unique triangle may always be drawn if three side lengths are given and the sum of any two is greater than the third. c) More than one triangle can be drawn with Angle A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.