ashleymarquette ashleymarquette
  • 21-04-2022
  • Mathematics
contestada

Tell whether the triangle with the given side lengths is a right triangle

14mm, 19mm, 23mm

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sqdancefan
sqdancefan sqdancefan
  • 21-04-2022

Answer:

  not a right triangle

Step-by-step explanation:

The side lengths of a right triangle will satisfy the relation given by the Pythagorean theorem:

  c² = a² +b²

  23² = 14² +19²

  529 = 196 +361

  529 = 557 . . . . . . . . not true; not a right triangle

__

The longest side (23 mm) is too short for a right triangle, so the angle opposite will be smaller than 90°. This is an acute triangle.

_____

If you're doing a bunch of these comparisons, use of a triangle solver app or spreadsheet can help.

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