SOLUTION: A triangle has sides that measure 3, 8, and n. If 3 < n < 8 and n is an integer, how many different triangles are possible?

Algebra.Com
Question 342297: A triangle has sides that measure 3, 8, and n. If 3 < n < 8 and n is an integer, how many different triangles are possible?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve by factoring:
35x + 19 = 3(x^2 - 3)
------------------
35x + 19 = 3x^2 - 9
3x^2 - 35x - 28 = 0
------
You would have to use the Quadratic Formula on this.
The zeroes are x = 12.4182... and x = -0.7516...
-----------
Cheers,
Stan H.

RELATED QUESTIONS

How many different triangles are there for which the lengths of the sides are 3, 8, and... (answered by alicealc)
if two sides of a triangle are 4 and 3, how many different triangles are possible with... (answered by scott8148)
If n is a positive 2-digit integer and both digits of n are the same, how many different (answered by fcabanski)
If n is an integer between 1 and 96 (inclusive), what is the probability that n(n+1)(n+2) (answered by ikleyn,mccravyedwin,math_tutor2020,greenestamps)
The lengths of the sides of an isosceles triangle are 20, n, and n. If n is an integer,... (answered by palanisamy,Edwin McCravy)
If n = pqr, where p, q, and r are three different positive prime numbers, how many... (answered by dabanfield)
An acute triangle has a perimeter of 18. How many possible triangles are there if all... (answered by Edwin McCravy)
How many different triangles can have sides of length 8 and 11 if the third side must... (answered by josmiceli)
1. An exterior angle of a regular polygon measures 30 degrees. What is the measure of an... (answered by Fombitz)