Can the sides of a triangle have lengths 1, 7, and 11? Explain

Question

asked Oct 21, 2019 86.0k views

1 Answer

MustangDC · Answer 1 · 2019-10-25T10:47:41+0000

No

Given 3 sides of a triangle, the sum of any 2 sides must be greater than the third side.

Consider the 3 given sides 1, 7 and 11

7 + 11 = 18 > 1

1 + 11 = 12 > 7

1 + 7 < 11 ⇒ not valid

Hence these sides do not form a triangle