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Which BEST describes the construction of a triangle if given the segment lengths of 3 cm, 5 cm, and 3 cm?

(Unique or more than one triangle?)

1 Answer

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This item has no choices given,but here's how to check this out.

Take the three sides of a triangle, add them in pairs. Check if the sum is greater than (not equal to) the third side.

If that is true, then it is possible to construct a triangle with the given side lengths.

Let us try the measure of line segments given above.

3 + 5 > 3 3 + 3 > 3 5 + 3 > 3

8 > 3 6 > 3 8 > 3

You see, each side lengths are greater than the third side length, therefore, you can construct a triangle out of these segment lengths.


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