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How can you determine when it is possible to draw a triangle with given side lengths?

How can you determine when it is possible to draw a triangle with given side lengths?
A) Use a protractor.
B) Use a ruler to measure.
C) Add the lengths of any two sides and compare to the length of the third side.
D) Only draw it if all sides are equal.




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1 Answer

  1. The correct answer is C) Add the lengths of any two sides and compare to the length of the third side.

    To determine if you can draw a triangle with given side lengths, you can use the Triangle Inequality Theorem. This theorem states that for any triangle, the sum of the lengths of two sides must be greater than the length of the remaining side. So, if you have side lengths a, b, and c, you need to check that:

    1. a + b > c
    2. a + c > b
    3. b + c > a

    If all three conditions are satisfied, you can form a triangle with those side lengths!

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