Question

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

Answer 1

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

Answer 2

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.