SOLUTION: Two of the sides of a triangle measure 15 cm and 8 cm. What are all the possible lengths of the third side, if the length of the third side is a whole number.

Algebra ->  Triangles -> SOLUTION: Two of the sides of a triangle measure 15 cm and 8 cm. What are all the possible lengths of the third side, if the length of the third side is a whole number.      Log On


   

Question 978825: Two of the sides of a triangle measure 15 cm and 8 cm. What are all the possible lengths of the third side, if the length of the third side is a whole number.
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
15+8=23
third side could be from 8 cm to 22 cm

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
x, the length of the unknown side.

According to Triangle Inequality Theorem:
system%2815%2B8%3Ex%2C15%2Bx%3E8%2C8%2Bx%3E15%29

system%28x%3C23%2Cx%3E-7%2Cx%3E7%29, in which one statement makes poor sense;

system%28x%3C23%2Cx%3E7%29

Combining, highlight%287%3Cx%3C23%29

Answer is, the set of whole numbers from 8 to 22.