SOLUTION: can triangle can be formed by three segments with the lengths of 27 inches, 31 inches, and 48 inches?

Algebra.Com
Question 718758: can triangle can be formed by three segments with the lengths of 27 inches, 31 inches, and 48 inches?
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Notice how adding any two sides always results in a sum that's larger than the third side (that you didn't add). So this shows you that a triangle is possible here.

--------------------------------------------------------------------------

Here's where a triangle isn't possible: side lengths of 1, 2, 18

Notice how 1+2 = 3 but that's not larger than 18, so the side lengths come up short making this triangle not possible

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
can triangle can be formed by three segments with the lengths of 27 inches, 31 inches, and 48 inches?
======================
Yes. why not?

RELATED QUESTIONS

can a triangle be formed by three segments of lengths of 2 inches, 3 inches, and 6... (answered by Alan3354)
which type of triangle can be formed with sides measuring 8 inches, 8 inches and 3 inches (answered by Fombitz)
Can a triangle have sides with lengths of 4 inches, 2 inches, and 1 inch for the last... (answered by Alan3354)
Can a triangle be formed with two sides being six inches and one side being fourteen... (answered by Alan3354)
Can the three sides of a triangle be 8 inches, 11 inches and 20 inches long? Why, or why... (answered by ikleyn)
sophie drew a triangle and reported the lengths is 3 inches, 10 inches and 9 inches can... (answered by jim_thompson5910)
If a triangle has a side 5 inches long and a second side 10 inches long what is the... (answered by jim_thompson5910)
the segments formed by the altitude to the hypotenuse of right triangle ABC measures 8... (answered by dabanfield)
A triangle has sides with lengths of 3 and 5 inches. Which of the following could be the... (answered by drk)