If two sides of the triangle above have lengths of 5 and 6, the perimeter of the triangle could be which of the following?
I. 15
II. 20
II. 22

Question

If two sides of the triangle above have lengths of 5 and 6, the perimeter of the triangle could be which of the following?
I. 15
II. 20
II. 22

anonymous · Answer

@pgpilot326 There can be multiple answers

anonymous · Answer

triangle above?  is there a pic?

anonymous · Answer

|dw:1375068497776:dw|

anonymous · Answer

remember the 3rd side cannot be more than the sum of the other 2 sides.  Write the equation for the perimeter and set it equal to each of the 3 values.  If you solve each for the 3rd side you'll see which ones work and which don't.

anonymous · Answer

So all could work, right? @pgpilot326

anonymous · Answer

nope

anonymous · Answer

@pgpilot326 wait, then none of them work?

anonymous · Answer

the first 2 work.  the last doesn't.

5 + 6 + 4 = 15, 4 < 5 + 6 so 4 is a valid side length.
5 + 6 + 9 = 20. 9 < 5 + 6 so 9 is a valid side length.

5 + 6 + 11 = 22, 11 is not less than 5 + 6 so 11 is not a valid side length.

anonymous · Answer

OH. wow. gosh.

anonymous · Answer

make sense?  in order to connect the last one would be flat.