Final answer:
To find the equation for the perimeter of the isosceles triangle, we use the fact that the two sides are each three times the length of the third side. The equation is P = 8t, where t represents the length of the third side. The length of each side is 4.5 cm and the length of the third side is 1.5 cm.
Step-by-step explanation:
To write an equation for the perimeter of the isosceles triangle, we can let t represent the length of the third side. Since the two sides s are each three times the length of t, we can write the equation as:
Perimeter = s + s + t = 3t + 3t + t = 8t
So the equation for the perimeter is P = 8t.
To write an equation that describes the relationship between one side s and side t, we can use the fact that s is three times the length of t:
s = 3t
Finally, to find the length of each side, we can set up an equation using the perimeter of the triangle:
8t = 12
t = 1.5
Since s = 3t, s = 3(1.5) = 4.5
Therefore, the length of each side is 4.5 cm and the length of the third side is 1.5 cm.