The perimeter of an isosceles triangle ACB with base AC is 37 cm, and the perimeter of an equilateral triangle ACD is 18 cm

The perimeter of an isosceles triangle ACB with base AC is 37 cm, and the perimeter of an equilateral triangle ACD is 18 cm. Find the length of the side of an isosceles triangle.

The perimeter of an equilateral triangle ACD is 18 cm.Since its sides are equal, we can find the base of the AC: AC = 18/3 = 6 cm.
The perimeter of the track holder is ACB = AB + BC + AC.
Perimeter ACB = 2 * AB + AC (since the triangle is isosceles, its sides are equal AB = BC)
37 = 2 * AC + 6
2AC = 37-6
2AC = 31
AC = 31/2
AC = 15.5 (cm)
Answer: The length of the side of an isosceles triangle is 15.5 cm.