Welcome to the forum.

I've made a diagram. Click below.

You may start by fixing Stockton and Overly at 10 miles apart.

But you don't know exactly where Shea is, in relation to these two.

So I've drawn a circle, radius 8 miles. Shea must lie somewhere on this circle, so you can consider the possibilities by thinking about the nearest it could be and so on.

Hope that helps,

Bob

]]>Simple consequence of

a+b>c

b+c>a

a+c>b

when a,b,c are the sides of any triangle.

Call Shea to Stockton d and then you know that d < 10 + 8. Therefore only answer c is possible.

You are a programmer?

]]>Three towns are arranged in the shape of a triangle. The distance from Stockton to Overly is 10 miles and the distance from Overly to Shea is 8 miles. Maria drives from Stockton to Overly to Shea and back to Stockton. Which of the following statements best describes her trip?

i.imgur.com/6UUsh.png

The answers are:

She drove 19 miles.

She drove 36 miles.

She drove less than 36 miles.

She drove more than 36 miles.

Thanks for answering.

]]>That link does not show the problem, so I deleted it to prevent confusion. Please copy the problem here. Then it can be answered.

I think I can deduce what you are asking.

For any combination of three lengths a,b,c this must be true to form a triangle.

a+b>c

b+c>a

a+c>b