Question

True or False? A triangle can be formed with side lengths 120, 85, and 220.

Answer 1

Hmm, the main funda is that the sum of any two sides of a triangle, must be GREATER than the third side!
But, I have a feeling 120+85 < 220

So what do you think?

Answer 2

Here I would use the "Triangle Inequality Theorem" which tells you:
"The sum of any two sides of a triangle MUST be greater than the measure of the third side"

So break these up -

120 + 85 ?> 220
85 + 220 ?> 120
120 + 220 ?> 85

If these hold, then you have a triangle. If ANY of them fail, then you can't make a triangle.

Answer 3

so its false?

Answer 4

because the sum of 120 + 85 isnt large enough.

Answer 5

Yeah it is FALSE! Do you understand this though? @sabimaru has posted a beautiful explanation above.

Answer 6

Exactly why. You understood it, great!

Answer 7

@sabimaru had a pretty good explanation so it was easy to understand aswell as you @apoorvk

Answer 8

Great! I'm blushing over here.

Answer 9

lol good