SOLUTION: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triang

Algebra ->  Triangles -> SOLUTION: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triang      Log On


   



Question 1145236: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 17 ft and 27 ft. Find the possible lengths of the third side.
The third side must have a length greater than
nothing ft and less than
nothing ft.

Found 3 solutions by Alan3354, josgarithmetic, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 17 ft and 27 ft. Find the possible lengths of the third side.
The third side must have a length greater than
nothing ft and less than
nothing ft.
==================
What is "nothing feet?"

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle side lengths, 17, 27, and x

system%2817%2B27%3Ex%2Cx%2B17%3E27%2Cx%2B27%3E17%29
Continue from this.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 17 ft and 27 ft. Find the possible lengths of the third side.
The third side must have a length greater than
nothing ft and less than
nothing ft.
With T being the 3rd side, we get: