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two sides of a triangle measures 20 centimeters and 30 centimeters which of the following could be the measure of the third side

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To find the third side of a triangle (there are two answers you could get), you need to use the Pythagorean formula: a^2+b^2=c^2.  First answer, 20^2+30^2=c^2.  Solve for c.  c=36.06.  The second answer, 20^2+b^2=30^2.  Solve for b.  b=26.36.
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