Anonymous
Anonymous asked in Education & ReferenceHomework Help · 6 months ago

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

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• 6 months ago

No.

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.

• 6 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.

• 6 months ago

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

• 6 months ago

no,not possible.

• David
Lv 7
6 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.

• Zirp
Lv 7
6 months ago

not on a flat surface

• ted s
Lv 7
6 months ago

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