SOLUTION: An isosceles triangle is a triangle that has two sides of equal length, and the perimeter of any polygon is the sum of the side lengths of said polygon. If an isosceles triangl

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Question 417888: An isosceles triangle is a triangle that has two sides of equal length, and the perimeter of any polygon is the sum of the side lengths of said polygon. If an isosceles triangle has a perimeter of 97 inches, and the two congruent sides are four times the sum of the third side and six, what are the lengths of the sides of the triangle?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let each congruent side be x
sum of both = 2x
third = 97-2x
..
x=4(97-2x+6)
x=4(103-2x)
x=412-8x
9x=412
/9
x=45.8 inches congruent sides
45.8+45.8+b=97
91.6+b=97
b=5.4 inches third side