SOLUTION: A scalene triangle has a perimeter of 91 inches. One side of the triangle is three more than twice the second side. The third side is two less than three times the second side.

Question 886666: A scalene triangle has a perimeter of 91 inches. One side of the triangle is three more than twice the second side. The third side is two less than three times the second side.
A. Label the model of the triangle.

B. Write an equation for this model. ____________________________
C. Solve the equation.

D. What is the length of each side?
Side 1: _____________
Side 2: _____________
Side 3: _____________

Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
The perimeter is the fence around.
Perimeter = side a + side b + side c
91 = A + B + C
A = 2B + 3
C = 3B - 2
Substitute the known values of A & C into the perimeter equation.
91 = A + B + C
91 = (2B+3) + B + (3B-2)
Add/Subtract
91 = 6B +1
Subtract 1 from each side
90 = 6B
Divide each side by 6
15 = B
.
If side B is 15, then A is 3 more than twice that. 3 + (15*2) = 33
If side B is 15, then C is 2 less than three times that. (15*3) - 2 = 43
.
The sides of the triangle are 33, 15, 43. Added together, that equals 91 -- the perimeter,
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