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McGraw Hill Integrated II, 2012 View details

6. Inequalities in Two Triangles

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Exercise 14 Page 458

Identify congruent sides in the triangles.

SR>PS

Practice makes perfect

Let's copy the diagram and highlight the segments we are asked to compare.

We can see that two sides of △ RQS are congruent to two sides of △ SQP. However, the included angle in △ RQS is larger than the included angle in △ SQP. RQ≅QP QS≅SQ m∠ RQS> m∠ SQP By the Hinge Theorem, the third side of △ RQS is longer than the third side of △ SQP. SR> PS