SOLUTION: the perimeter of the traingle below is 88 units. find the length of side AC ac=3z cb=z+3 ab=4z-3

Algebra ->  Triangles -> SOLUTION: the perimeter of the traingle below is 88 units. find the length of side AC ac=3z cb=z+3 ab=4z-3      Log On


   

Question 866325: the perimeter of the traingle below is 88 units. find the length of side AC
ac=3z
cb=z+3
ab=4z-3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
the perimeter of the triangle is P=88 units
ac=3z
cb=z%2B3
ab=4z-3
________________
find: the length of side AC+
P=ac+%2B+cb+%2B+ab ..plug in given values
88=3z+%2B%28z%2B3%29++%2B+%284z-3%29

88=3z+%2Bz%2Bcross%283%29++%2B+4zcross%28-3%29
88=8z+

88%2F8=z+
11=z+
now find ac
ac=3z...plug in z
ac=3%2A11
highlight%28ac=33%29
you can also find another two sides
cb=z%2B3 =>cb=11%2B3=>cb=14
ab=4z-3=>ab=4z-3=>ab=44-3=>ab=41
check the perimeter:
P=ac+%2B+cb+%2B+ab
P=33+%2B+14+%2B+41
P=88