#### homeschool girl

##### Junior Member

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here's my diagram:

so far I've figured out that it's impossible for \(\displaystyle \angle C\) to be an obtuse angle but I don't know where to go from there

- Thread starter homeschool girl
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here's my diagram:

so far I've figured out that it's impossible for \(\displaystyle \angle C\) to be an obtuse angle but I don't know where to go from there

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How did you figure out that \(\displaystyle \angle C\) is NOT an obtuse angle?

here's my diagram:

so far I've figured out that it's impossible for \(\displaystyle \angle C\) to be an obtuse angle but I don't know where to go from there

Please show us what you have tried and

Please follow the rules of posting in this forum, as enunciated at:

Please share your work/thoughts about this problem.

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Was the diagram provided in the assignment? As posted, you

One of the solutions could be that all those points are on one line. → 25+ 35 = 60 and 140 - 80 = 60

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the diagram was not provided, it was just the word problem

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Apply triangle inequality to the diagram you have drawn - and you will see there is only one solution for the length of ML!!

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i don't know which one, arent there like 5? all I could figure out is that C is not obtuce but it could be right of acute, and I don't know what Y isApply triangle inequality to the diagram you have drawn

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Sum of (the lengths of any) two sides of a triangle is larger than (or equal to) the (length of the) third side.i don't know which one, arent there like 5? all I could figure out is that C is not obtuce but it could be right of acute, and I don't know what Y is

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To make the triangle inequality more tangible, think of it this way: Suppose you have two sticks of length 80 and 140 cm, attached at one end. What is the greatest possible distance between the other ends? Just imagine moving the sticks to accomplish this; what do you see.

here's my diagram:

so far I've figured out that it's impossible for \(\displaystyle \angle C\) to be an obtuse angle but I don't know where to go from there

Now try to swing them around so the ends are as close as they can possibly be. How are they arranged, and what is that distance?

This gives you a range of possible lengths of ML. Do the same with 25 and 35, and then put the two ranges together.

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I got x=60.

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I put it in and it was correct, thank you all for your help