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Triangle Inequality pg. 118-119

Triangle Inequality pg. 118-119. Sets the maximum & minimum limits for the length of the third side of ANY triangle. The length of each side must be LESS than the SUM of the lengths of the other two sides. PQ < PR + QR PR < PQ + QR QR < PQ + PR. P. Q R. Example:.

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Triangle Inequality pg. 118-119

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  1. Triangle Inequality pg. 118-119 • Sets the maximum & minimum limits for the length of the third side of ANY triangle. • The length of each side must be LESS than the SUM of the lengths of the other two sides. PQ < PR + QR PR < PQ + QR QR < PQ + PR P Q R

  2. Example: AB < AC + BC (x < 14 + 20) AC < AB + BC (14 < x + 20) BC < AB + AC (20 < x + 14) A x 14 If two of the sides are 20 and 14, then the third side is: Max: Less than 20 + 14 = 34 Min: More than 20 – 14 = 6 So, 6 < x < 34 would be the range that the third side COULD be. B C 20 In other words: 20 – 14 < x < 20 + 14

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