The perimeter of the isosceles triangle is 28 cm.and side a is equal to (x+2y) while side b is equal to (6y-2x+1) and side c is equal to 4y all in cm.find x and y and hence state the lengths of the side of the triangle
a = b.
x+2y = -2x+6y+1.
Eq1: 3x-4y = 1.
a + b + c = 28.
x+2y -2x+6y+1 + 4y = 28.
Eq2: -x+12y = 27.
Add Eq1 and Eq2, solve for X, and Y:
+3x - 4y = 1
-3x + 36y = 81(3*Eq2).
sum: +32y = 82, Y = 41/16.
In Eq1, replace Y with 41/16, and solve for X:
3x - 4*41/16 = 1, X = 15/4.
X = 15/4, Y = 41/16.
Use these values of X and Y to calculate sides a, b, and c.