yaya10196 yaya10196
  • 25-05-2021
  • Mathematics
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The lengths of 2 sides of a triangle game are 55 and 20 what are the possible lengths of the 3rd side

The lengths of 2 sides of a triangle game are 55 and 20 what are the possible lengths of the 3rd side class=

Respuesta :

clarch19
clarch19 clarch19
  • 27-05-2021

Answer:

45, 60, 72

Step-by-step explanation:

use the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side

20 + x > 55  This tells us that the minimum value of the third side

x > 35           must be 36

20 + 55 > x   This tells us that the maximum value of the third side

75 > x            must be 74 or less

The third side must be greater than or equal to 36 and less than or equal to 74

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