chrisbentonjroug287 chrisbentonjroug287
  • 02-05-2018
  • Mathematics
contestada

Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72 mm C. 81 mm, 7 mm, 88 mm D. 81 mm, 7 mm, 77 mm

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calculista
calculista calculista
  • 11-05-2018
we know that
The triangle inequality states that for any triangle, the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
case A. 81 mm, 7 mm, 6 mm 
6+7 is not > 81

case 
B. 81 mm, 7 mm, 72 mm
72+7 is not > 81

case 
C. 81 mm, 7 mm, 88 mm
81+7 is not > 88

case 
D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok

the answer is the option
D. 81 mm, 7 mm, 77 mm
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