SOLUTION: One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. Find the measurement of each of the sides of the t

Algebra ->  Triangles -> SOLUTION: One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. Find the measurement of each of the sides of the t      Log On


   

Question 335191: One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. Find the measurement of each of the sides of the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A,B,C be the sides from shortest to longest.
B=A%2B1
A=B-1
.
.
.
B=C-1
C=B%2B1
.
.
.
A%2BB%2BC=17
Substitute the above values and solve for B.
%28B-1%29%2BB%2B%28B%2B1%29=17
3B=17
highlight%28+B=17%2F3%29
.
.
.
A=17%2F3-3%2F3
highlight%28A=14%2F3%29
.
.
.
C=17%2F3%2B3%2F3
highlight%28C=20%2F3%29