Anonymous
Anonymous asked in Education & ReferenceHomework Help · 9 months ago

# Can a triangle have sides 7cm, 4cm, and 11cm?

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No.

7 + 4 is not greater than 11

so they fail the triangle inequality.

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• 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.

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• 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.

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• In plane geometry, any two sides of a triangle must be greater than the third side.

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• no,not possible.

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• No because the sum of its two smaller sides must be greater than its longest side.

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• No. You'd just have a straight line of length 11 cm.

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• not on a flat surface

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• only a ' degenerate ' triangle......a line of length 11 cm

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• 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.

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