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We could be able to tell this through the use of the Pythagorean theorem. Unfortunately, we may only be able to attempt this, If we assume that your hypotenuse is the last measurement. A and B can be either leg of the triangle, however, "C" must always be the hypotenuse.

So we'll test out using each value as the hypotenuse.

Pythagorean theorem: A2 + B2 = C2

So using this we'll begin by a = 20, b = 21, c = 28:

  • 202 + 212 = 282
  • 400 + 441 = 784
  • 841 = 784
  • 841 does not equal 784

Therefore, using 28 as the hypotenuse yields a triangle that is not a right triangle.

Secondly, we'll use a = 20, b = 28, c = 21

  • 202 + 282 = 212
  • 400 + 784 = 441
  • 1184 = 441
  • 1184 does not equal 441

Therefore, using 21 as the hypotenuse yields a triangle that is not a right triangle.

Lastly, we'll use a = 28, b = 21, c = 20

  • 282 + 212 = 202
  • 784 + 441 = 400
  • 1225 = 400
  • 1225 does not equal 400

Therefore, the measurements 20, 21, and 28, no matter which is used as the hypotenuse can yield a right triangle.

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12y ago

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