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Example#3: If a triangle has side lengths of 4 and 17, the third side length must be between ___ and ___.
17-4=13    17+4=21
Answer: 13 and 21

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Example#2: Determine if the side lengths below will form a triangle.
a.) 2,7,11 2+7>11 9>11
Answer: No
b.) 12,18,12 12+12>18 24>18
Answer: Yes

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Example#1: Name the longest side in the diagram below. <A=105, <B=50, <C= 130, <D= 75.
Answer: AB

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Is a segment that joins the midpoints of two sides of a triangle.

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XY+YX>XZ   YZ+XZ>XY   XZ+XY>YZ

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The sum of the lengths of any two sides of a triangle is greater than the length of the third side

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The height is the length of the altitude drawn to the line containing that base.

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Is a ray that divides an angle into two congruent angles

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Centroid - Median
Orthocenter - Altitude
Incenter - Angle Bisector
Circumcenter - Perpendicular Bisector

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Ordering Angle Measurements Based on Side Lengths

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Ordering Angle Measurements Based on Side Lengths

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Is a segment that has as its endpoint a vertex of the triangle and the midpoint of the opposite side.

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s a line, segment, or ray that is perpendicular to the segment at its midpoint.