A triangle can be formed with side lengths 5, 7 and 10.
true or false? and how can i tell on this kind of question?

Question

A triangle can be formed with side lengths 5, 7 and 10.
true or false? and how can i tell on this kind of question?

anonymous · Answer

You can use Pythagorean Theorem $$A^2 + B^2 = C^2$$ and see if the sides add up to the third hypotenuses leg.

anonymous · Answer

cool that makes since! so its false right?

anonymous · Answer

Yes

anonymous · Answer

Cool, thanks for the help :)

anonymous · Answer

Excuse me...the question asked was not about a right triangle. It was asked about a triangle in general.

So use the Triangle Inequaluty, that the sum of any 2 sides of a triangle MUST be greater than the third side. Which is true in this triangle.

anonymous · Answer

Triangle Inequality*

anonymous · Answer

so in other words the answer to this question is true?
now im confused lol

anonymous · Answer

The answer is TRUE, but for a different reason altogether!

You dont use Pythagoream Theorem unless you want to know if the triangle is a right triangle.

anonymous · Answer

If you are given any triangle, say 4,7,13. Can such a triangle exist?

anonymous · Answer

Answer is NO. Becuase in any triangle, the SUM of any two sides MUST be greater than the third side. Since 4 + 7 is not greater than 13, a triangle whose sides are 4,7, and 13, does not exist.

anonymous · Answer

ok that makes since. thanks for clearing that up :)