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McGraw Hill Glencoe Geometry, 2012 View details

6. Inequalities in Two Triangles

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Exercise 15 Page 376

Identify congruent sides in the triangles.

JK>HJ

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

We can see that two sides of △ JKL are congruent to two sides of △ JKH. However, the included angle in △ JKL is larger than the included angle in △ JKH. JK≅JK KH≅KL m∠ JKL> m∠ JKH By the Hinge Theorem, the third side of △ JKL is longer than the third side of △ JKH. JK> HJ