idoMishadT6m4iykinne idoMishadT6m4iykinne
  • 26-11-2016
  • Mathematics
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A triangle has the side lengths of 28 in,4in and31 inches. classify it as acute, obtuse or right

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JcAlmighty
JcAlmighty JcAlmighty
  • 30-11-2016
The answer is obtuse

a = 4
b = 28
c = 31

If a² + b² > c²    -  the angle is acute
If a² + b² < c²    -  the angle is obtuse
If a² + b² = c²    -  the angle is right

a² + b² = 4² + 28² = 16 + 784 = 800
c² = 31² = 961

    800 < 900
a² + b² < c²  

Therefore, the angle is obtuse
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