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McGraw Hill Integrated II, 2012 View details

6. Inequalities in Two Triangles

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Exercise 11 Page 458

Identify congruent sides in the triangles.

m∠ TSR > m∠ MLP

Practice makes perfect

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