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Question

If the lengths of three sides are given, you can always draw a unique triangle. Say true or false.


A

True

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B

False

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Solution

The correct option is B

False


According to SSS rule, any two triangles having same measurements of their sides will be congruent, i.e. identical. So, you can draw a unique triangle. But this can happen ONLY if the sum of lengths of any two of those sides is greater than that of the third side. So, a unique triangle can be constructed with three sides known if and only if the sides satisfy the triangle inequality.So, Hence the statement is False.


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