Question

Can the sides of a triangle have lengths 1, 10, and 20?
yes

OR
no

Answer 1

We know that:

• Given side lengths of triangle: 1 unit, 10 units, and 20 units
• The sum of two sides must be greater than the third.

Verification:

• 10 + 20 > 1 ⇒ 30 > 1 (True)
• 20 + 1 > 10 ⇒ 21 > 1 (True)
• 1 + 10 > 20 ⇒ 11 > 20 (False)

Conclusion:

The given side lengths cannot be a triangle.

Answer 2

No

Explanation:

Given the following question

In order to prove if three lengths can create a triangle two of the three sides added together HAS to be greater than the third side.


`a+b > c`

`1+10=11`

`11 < 20`

Which means your answer is "no," the given sides cannot create a triangle for they do not pass the Triangle Inequality Theorem.

Hope this helps.