McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. The Triangle Inequality
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Exercise 45 Page 451

Could you determine if the side lengths form a triangle? Could you classify the triangle? Are you able to know if the triangle is a right triangle?

See solution.

Practice makes perfect

If we are given three side lengths, by analyzing them we can say a few things.

  1. Whether or not the side lengths actually form a triangle (Triangle Inequality Theorem).
  2. Whether the triangle is equilateral, isosceles or scalene.
  3. What the smallest and largest angle are (Theorem 5.9).
  4. Whether or not the triangle is a right triangle (Pythagorean Theorem).