State whether the following lengths are sides of a triangle or not.
$9.6 c m, 15.8 c m, 6.1 c m$

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Solution

Triangle in-equality:
The sum of the lengths of two sides of a triangle is always greater than the third side.
$9.6 + 15.8 > 6.1 \Rightarrow 25.4 > 6.1 9.6 + 6.1 ≯ 15.8 \Rightarrow 15.7 ≯ 15.8$
So, $9.6, 15.8 a n d 6.1$ are not the sides of the triangle.
Hence, $9.6, 15.8 a n d 6.1$ are not the sides of the triangle.

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