Question

Given 11 and 6, which of the following could not be the third side of the triangle?

Answer 1

Any, that is greater than 5 and less than 17

Step-by-step explanation:

Given three sides of triangle: a, b and c, and a<c and b<c, then the triangle exist only if a+b>c

therefore:

if a = 11 and b = 6 and c = ??

then: 11 + 6 > c

c < 17

if a = 6 and c = 11 and b = ?? {or b=6 and a=??}

then: 6 + b > 11 {subtract 6 from both sides}

b > 5