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I need help with number 12 can you see if I did it ok

I need help with number 12 can you see if I did it ok-example-1

1 Answer

7 votes

Answer:

No, 27+35=62<65

Explanation:

Given the side lengths: 27m, 35m, and 65 m.

To verify if any three side lengths form a triangle, we check if it satisfies the triangle inequality:


\begin{gathered} a+b>c \\ a+c>b \\ b+c>a \end{gathered}

That is, the sum of any two sides must be greater than the third side.

a = 27, b = 35, c = 65


27+35=62<65

The sum of two of the sides (27 and 35) is less than the third side, (65).

This is against the required condition, therefore, 27, 35, and 65 do not form a triangle.

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User Steph Locke
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