Will the following sides 14 feet ,17 feet, 30 feet make a right triangle, if so explain why?

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23-11-2016
Mathematics

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Will the following sides 14 feet ,17 feet, 30 feet make a right triangle, if so explain why?

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AL2006 AL2006 · Answer 1 · 2016-11-23T03:11:12+01:00

Well I don't know !
Let's work it out.

IF the triangle IS a right triangle, then

   (the shortest side)² + (the medium side)² = (the longest side)²

Let's test this one:

   (14)² = 196
   (17)² = 289

   (the shortest side)² + (the medium side)² = (196 + 289) = 485

   (The longest side)² = (30)² = 900 .

   900 is not the same number as 485,
   so these three sides do not make a right triangle.