Can a triangle have sides 7cm, 4cm, and 11cm?
- Iggy RockoLv 76 months agoFavorite Answer
7 + 4 is not greater than 11
so they fail the triangle inequality.
- 6 months ago
If you laid out straws that were 4cm in line with one that was 7cm (tip to tip) and then the 11cm straw parallel with those (like two tracks) then there wouldn't be enough length from the 4 and 7 to make a gap away from the 11. Thus no triangle. If the 11cm were 11.5 then it would still be too long but if it were say, 10.5 cm then the 4 and 7 would be longer and could make a triangle.
- Jim MoorLv 76 months ago
Triangle Inequality Theorem
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
So no, 4, 7, & 11 don't pass the criteria.
- roderick_youngLv 76 months ago
In plane geometry, any two sides of a triangle must be greater than the third side.
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- charlatanLv 76 months ago
- DavidLv 76 months ago
No because the sum of its two smaller sides must be greater than its longest side.
- 6 months ago
No. You'd just have a straight line of length 11 cm.
- ZirpLv 76 months ago
not on a flat surface
- ted sLv 76 months ago
only a ' degenerate ' triangle......a line of length 11 cm
- llafferLv 76 months ago
No. The sum of the two smaller sides must be larger than the largest side.
If you line up the 7 cm side and the 4 cm side so they create a longer side, it is 11cm which would just sit on top of the 11 cm side.