SOLUTION: the lengths of the sides of a triangle are 11cm, 15cm, and k cm, where k is an integer. For how many values of k is the triangle acute?

Algebra ->  Triangles -> SOLUTION: the lengths of the sides of a triangle are 11cm, 15cm, and k cm, where k is an integer. For how many values of k is the triangle acute?      Log On


   

Question 919082: the lengths of the sides of a triangle are 11cm, 15cm, and k cm, where k is an integer. For how many values of k is the triangle acute?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
For HOW MANY VALUES of k?

11%5E2%2B15%5E2%3Ek%5E2,

Also need to apply this to the two other sides.
11%5E2%2Bk%5E2%3E15%5E2 and 15%5E2%2Bk%5E2%3E11%5E2


Not so much of how many values of k; but more important, which values of k.
Important rule here is k%3E0.

(1)
k%3C18.601
(2)
k%3E10.20
(3)
... k must not be negative.

k can be any value such that highlight%2810.2%3Ck%3C18.601%29