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Can the sides of a triangle have lengths 16, 9, and 7?

Sagot :

Solution:

We know that:

  • Given side lengths of triangle: 16 units, 9 units, and 7 units
  • The sum of two sides must be greater than the third.

Verification:

Let's verify the side lengths of the triangle.

  • => 16 + 9 > 7 => 25 > 7 (True)
  • => 16 + 7 > 9 => 23 > 9 (True)
  • => 9 + 7 > 16 => 16 > 16 (False)

Conclusion:

The following side lengths cannot be a triangle.

The rule is

Sum of any two sides must be greater than the third side

  • 16+9=25>7
  • 7+16=23>9
  • 7+9=16

They can't be a triangle