I was currently working on problems that involve triangles. I am really confused on how to solve these. Teacher did not give sufficient information on how I could go about to solve this problem.
Here is an example of a problem.=
Each set of numbers below represents the lengths of three line segments.
Which set represent line segments that could be connected to form a triangle?
Then I am given a set of numbers.
Here is an example=
(3, 5, 7)=How would I know whether I connect them to form a triangle?
(3, 4, 8)=How would I know whether I connect them to form a triangle?
(1, 4, 6)=??-
(1, 3, 5)=??-
(5, 6, 11)=??-
(1, 10, 20)=??-
I do not want the answer. I just need some hints in the right direction on how to solve a problem of this kind. You may use this one as an example.
How would I go about to solve this kind of question? I have more than one question on these to answer.
Thanks for all the potential help.
The Pythagorean theorem has very little to do with this problem.
The problem involves the triangle inequality: the sum of the lengths of any two sides of a triangle must exceed the length of the third side.
From the problem, the triple (1, 4, 6) cannot be a triangle because , i.e. does not exceed.
Now do that for each triple. Be careful! In first one we must test all three pairs.
In (3, 5, 7) see that 3+5 = 8 >7 so they form a triangle.
In (3, 4, 7) see that 3+4=7 which is not greater than third side 7(it is same as 7). So no triangle forms.
In (1,4, 6) see the sum 1+4=5<6, so no triangle.
You got it now?