Question

A triangle has side lengths of 18 & 13. Which of the following could not be a measure of the third side?
1) 30
2) 5
3) 22
4) 4

Answer 1

In a triangle, any two of the three sides must have a combined total length longer than that of the third.

Answer 2

all of those are valid values execept for 4 and 5. so the answer is 2 and 4.

this is because in the sum of the two smaller sides MUST be larger than the third side.

IE if you have sides 13-18-22 then 13+18 > 22
etcetc

Answer 3

i cant pick Both

Answer 4

Yeah, both. I don't know about that.

Answer 5

Pick 4 then. However both is the right answer.

Answer 6

Now, set up the inequalities to see what you'd get. Let x be the length of the 3rd side
(I) 18+13> x => x<31
(II) 18+x > 13 => x> 13-18 => x>-5
(III) x+13> 18 => x>5
Hmm.. two answers :S

Answer 7

lost .

Answer 8

about the answer? or how to approach the answer?

Answer 9

are*

Answer 10

4 is not valid

Answer 11

Neither 5...

Answer 12

I read teh problem wrong

Answer 13

3. ?

Answer 14

Option 3 is correct. It is smaller than 31 but greater than 5.