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McGraw Hill Integrated II, 2012 View details

6. Inequalities in Two Triangles

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Exercise 36 Page 461

Focus on the triangles △ WZX and △ YZX.

WX>XY

Practice makes perfect

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

Now we will summarize what we know about triangles △ ZWX and △ ZYX.

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

Since ZX is a common side, triangles △ ZWX and △ ZYX have two pairs of congruent sides. This means that we can apply the Hinge Theorem. m∠ WZX> m∠ YZX ⇓ WX> XY