Question

Determine if a triangle exists with the given side lengths.

3, 6, 2

Answer 1

Not a triangle.

Criteria for it to be a triangle:

3 = A

6 = B

2 = C

A + B > C

B + C > A

A + C > B

What this says, is that if you add any two sides of the triangle, it needs to be bigger than the one you left out.

3 + 6 > 2 This one works

6 + 2 > 3 This one works

3 + 2 > 6 This one doesn't work because 5 is less than 6

Since the last one didn't work, it's not a triangle.