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McGraw Hill Integrated II, 2012 View details

6. Inequalities in Two Triangles

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Exercise 35 Page 461

Focus on the triangles △ WZU and △ YZU.

WU>YU

Practice makes perfect

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

Let's summarize what we know about triangles △ ZWU and △ ZYU.

Claim	Justification
ZW≅ZY	Both of these segments have a measure of 6.
m∠ WZU> m∠ YZU	55>45

Since ZU is a common side, triangles △ ZWU and △ ZYU have two pairs of congruent sides. This means that we can apply the Hinge Theorem. m∠ WZU> m∠ YZU ⇓ WU> YU