Converse of Hinge Theorem or SSS Triangle Inequality Theorem if two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second, then the included angle of the first triangle is larger than the included angle of the socond. Given: Delta ODG and vector DG ALUV; D overline LL overline LW overline OG>overline LV ,DC Prove: angle D>angle LI L o IG Indirect Proof: 7