Determine the range of possible side lengths of the third side AB of Triangle ABC from greatest to least.
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the 3 sides of a triangle have to join up
my first sketch show the two known lines essentially joined end to end
the third line has to join the ends of those
so what is the longest it can be?
the second sketch shows the two known lines joined to almost double back on each other.
The third line has to join the other ends.
So what is the shortest it can be?
(assume the known lines are essentially making a straight line )
The shortest side is 8?
Just think about this practically
take a stick 10" long
take a stick 8" long
put them together end to end in the longest straight line
HOW LONG is the longest stick that will touch both ends?
now put them together next to each other with one end touching like in my second skech
What is the shortest stick that will joint the ends now?
if that makes sense to you then go with it
what is the shortest?
Less than 18?
if 18 is the longest then of course the shortesdt is less
please don't guess - this is a simple practical question - take a minute to think.
Look at my sketches
It asks the shortest value for the third side given the other sides are 10 and 8
the shortest side joins the ends as shown below:
how long is the joining line?
How would I find the joining line?..
Think of the 2 sticks
How long would the third stick be to join up like I showed above? (assume the other sticks are touching all along....