The perimeter of this isosceles triangle is 29 cm.
Find the length of the equal sides. Your answer must not contain x or y.
+33665 You can construct the following two equations for the two unknowns:
x+y+1 = 3x -2y +14 ...(1)
x+y+1+3x-2y+14+2x-y+4 = 29 ...(2)
Collect the x's and y's on one side of each equation and the constants on the other:
2x - 3y = -13 ...(3) (from (1))
6x -2y = 10 ...(4) (from (2))
Multiply (3) by 3:
6x - 9y = -39 ...(5)
Subtract (5) term by term from (4)
7y = 49
Hence y = 7
Plug this back into (4)
6x - 2*7 = 10
6x = 24
x = 4
So the length of the equal sides is: 4 + 7 + 1 = 12 cm
Check: 3*4 - 2*7 +14 = 12 cm
.
+33665 You can construct the following two equations for the two unknowns:
x+y+1 = 3x -2y +14 ...(1)
x+y+1+3x-2y+14+2x-y+4 = 29 ...(2)
Collect the x's and y's on one side of each equation and the constants on the other:
2x - 3y = -13 ...(3) (from (1))
6x -2y = 10 ...(4) (from (2))
Multiply (3) by 3:
6x - 9y = -39 ...(5)
Subtract (5) term by term from (4)
7y = 49
Hence y = 7
Plug this back into (4)
6x - 2*7 = 10
6x = 24
x = 4
So the length of the equal sides is: 4 + 7 + 1 = 12 cm
Check: 3*4 - 2*7 +14 = 12 cm
.
