SOLUTION: One side of triangle is 6 more than 2 times the shortest side. The third side is 16 centimeters more than the shortest side. The perimeter is 66. Find all three sides.

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Question 1092238: One side of triangle is 6 more than 2 times the shortest side. The third side is 16
centimeters more than the shortest side. The perimeter is 66. Find all three sides.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let sides be a,b, and c
let a be the shortest
if one side of triangle is 6+ more than 2 times the shortest side, we have
b=2a%2B6
if the third side is 16%7D%7D+centimeters+more+than+the+shortest+side%2C+we+have%0D%0A%0D%0A%7B%7B%7Bc=a%2B16
if the perimeter is 66, we have
a%2Bb%2Bc=66
a%2B2a%2B6%2Ba%2B16=66
4a%2B22=66
4a=66-22
4a=44
highlight%28a=11%29
b=2a%2B6->b=2%2A11%2B6->highlight%28b=28%29
c=a%2B16->c=11%2B16->highlight%28c=27%29