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McGraw Hill Integrated II, 2012 View details

6. Inequalities in Two Triangles

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Exercise 3 Page 457

Identify congruent sides in the triangles.

ST>QT

Practice makes perfect

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

We can see that two sides of △ SRT are congruent to two sides of △ QRT. However, the included angle in △ SRT is larger than the included angle in △ QRT. QR≅RS RT≅RT m∠ SRT> m∠ QRT Therefore, by the Hinge Theorem, the third side of △ SRT is longer than the third side of △ QRT. ST> QT