6. Inequalities in Two Triangles
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Identify congruent sides in the triangles.
m∠ TSR > m∠ MLP
Let's copy the diagram and mark the angles we are asked to compare.
We can see that two sides of △ TSR are congruent to two sides of △ MLP. However, the third side of △ TSR is longer than the third side of △ MLP. TS &≅ ML SR &≅ LP RT&> PM According to the Converse of the Hinge Theorem, the included angle measure in △ TSR is greater than the included angle measure in △ MLP. m∠ TSR> m∠ MLP