Question

Can anyone please tell me if my answer is correct on this one?
Which measurement is a possible side length for a triangle with two sides measuring 415 ft and 770 ft?

355 ft
245 ft
915 ft
1185 ft

Answer 1

My answer is 1185

Answer 2

Always the third side has to be greater than both sides added together

Answer 3

How do you get the answer then since the two added together are 1185?

Answer 4

Especially since that is the largest answer?

Answer 5

well,
If a b c are lengths of sides of a triangle then triangle can be formed using these a b c only if each of following are correct
a-b < c < a+b
b-c < a < b+c
c-a < b < c+a

Answer 6

So the answer is 915 then right?

Answer 7

One side of a triangle is less than the sum of the other two but greater than the positive difference of the other two sides.

So, your third side lies between (770 - 415) and (415 + 770).

Check my arithmetic but I think this is true: 355 < 3rd side < 1185. -->

Answer 8

Which of the options lies within this interval: 355 < 3rd side < 1185

Answer 9

http://assets.openstudy.com/updates/attachments/4e89cbce0b8b543d41e8f199-kira%2Byamato-1317653818759-screenshot20111003atpm11.03.55.png

Answer 10

>>>So the answer is 915 then right?

@marylou004 Is this true: 355 < 915 < 1185 AND 915 is an option? Yes or No?

Answer 11

Yes

Answer 12

So this makes 915 the answer?

Answer 13

That is correct. Your answer is correct.

Answer 14

Thank you so much, I appreciate it.