SOLUTION: Does the set of numbers: 17, 19, 35 make an obtuse angle? And what about 16, 17, 31? I got obtuse for both of them but my answer choices doesn't contain that. It says one has to be

Question 840865: Does the set of numbers: 17, 19, 35 make an obtuse angle? And what about 16, 17, 31? I got obtuse for both of them but my answer choices doesn't contain that. It says one has to be obtuse and one does not make a triangle? So which is it? Am I going crazy or the problem's wacky? Thank you~ Have a nice day (:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You are correct.
Wacky. There must be a typo.
Maybe one of the 17's was supposed to be 11 instead.
To make a triangle, the sum of the lengths of 2 sides must be greater than the length of the third side.
and
Both sets of side lengths make triangles, and since for each set the longest side's length is so close to the sum of the other sides' lengths, you would expect them to be obtuse.

I am sure you compared the squares:

.
That proves they are obtuse.
That is a lot of calculation, but it is expected if the problem asks to "show your work".

Can we prove it without much calculation?
That would help in a timed multiple choice test.
An isosceles right triangle with a leg length of 20, would have a hypotenuse with length
.
That means that an isosceles triangle with two side lengths of 20, and a third side length of 30 or more would be obtuse.
That means that a triangle with two side lengths shorter than 20, and a third side length longer than 30 is obtuse too.
RELATED QUESTIONS
Determine the truth value of these statements: If a Vertex angle isn't an obtuse... (answered by greenestamps)

Hi I know that this is an easy question but I don't get it i've been stuck on this... (answered by fcabanski)

The measure of an obtuse angle is 5y+45. What are the restrictions on y? (Mainly, what (answered by reviewermath)

Diane draws an obtuse,isosceles triangle with one of the angles measuring 35'. What is... (answered by bucky)

Use paragraph proofs: Given angle VST is acute, Prove angle RSV is obtuse ~here is (answered by jainenderkapoor)

Hi! I couldn't find the right category for my question, so I hope this is alright. I'm (answered by solver91311,Edwin McCravy)

Can someone please help me ASAP. I have in the process of relocating and have lost my... (answered by rfer)

please help. i have a test tomorrow. 1. A tower that is 65 m high makes an obtuse angle... (answered by feliz1965)

What is the supplement of an obtuse angle? And what is the complement of an acute... (answered by jim_thompson5910)