Question
Is it possible to have a triangle with the sides $3\ cm, 6\ cm, 7\ cm$
✓
Answer
We know that,
In a triangle, the sum of the length of either two sides of the triangle is always greater than the third side
The given sides of the triangle are:
$3\ cm, 6\ cm,$ and $7\ cm$
Now,
$3 + 6 = 9\ cm$ and, $9\ cm > 7\ cm$
$6 + 7 = 13\ cm$ and, $13\ cm > 3\ cm$
$3 + 7 = 10\ cm$ and, $10\ cm > 6\ cm$
Hence,
This triangle is possible as the sum of the length of either two sides of the triangle is greater than the third side.
In a triangle, the sum of the length of either two sides of the triangle is always greater than the third side
The given sides of the triangle are:
$3\ cm, 6\ cm,$ and $7\ cm$
Now,
$3 + 6 = 9\ cm$ and, $9\ cm > 7\ cm$
$6 + 7 = 13\ cm$ and, $13\ cm > 3\ cm$
$3 + 7 = 10\ cm$ and, $10\ cm > 6\ cm$
Hence,
This triangle is possible as the sum of the length of either two sides of the triangle is greater than the third side.
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