State true or false for the following statement: Sum of any two sides of a triangle is greater than the third side.

True

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False

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Solution

Lets take a triangle,

In figure, the measurements of sides of triangle are $3 c m, 4 c m$ and $5 c m$ .
$3 c m + 4 c m = 7 c m > 5 c m$
$4 c m + 5 c m = 9 c m > 3 c m$
$5 c m + 3 c m = 8 c m > 4 c m$
So,
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.
Hence, option A is correct.

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