The base of an isosceles triangle is 7cm longer than each of the legs. Find the legs if the perimeter of the triangle is 43 cm.

1 answer

Let the length of each leg be x, then the length of the base is x+7.
The perimeter of the triangle is the sum of all three sides:
x + x + (x+7) = 43
Simplifying and solving for x:
3x + 7 = 43
3x = 36
x = 12
Therefore, each leg is 12 cm long, and the base is 19 cm long.