SOLUTION: A triangle has a perimeter of 28 inches. One side of the triangle is 4 inches longer than the shortest side and 5 inches shorter than the longest side. Find the dimensions of the t

Algebra ->  Triangles -> SOLUTION: A triangle has a perimeter of 28 inches. One side of the triangle is 4 inches longer than the shortest side and 5 inches shorter than the longest side. Find the dimensions of the t      Log On


   



Question 333245: A triangle has a perimeter of 28 inches. One side of the triangle is 4 inches longer than the shortest side and 5 inches shorter than the longest side. Find the dimensions of the triangle.
-Thank you so much!

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Since all three sides are not the same length, we are dealing with a scalene triangle.
The formula for finding the perimeter of a scalene triangle is given by
P = side a + side b + side c.
Let side a = x + 4
Let side b = x
Let side c = (x + 4) - 5
Let P = 28
28 = x + 4 + x + [x + 4 - 5]
I'll let you take it from here.