joshua442k
Answered

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

OR
no

Sagot :

Nonportrit

Answer:

No

Step-by-step 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.

[tex]a+b > c[/tex]
[tex]1+10=11[/tex]
[tex]11 < 20[/tex]

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.

Solution:

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.

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