# In isosceles ABC, the base of the AC is three times smaller than its lateral side AB, and the perimeter is 28 cm.

July 21, 2021 | education

| **In isosceles ABC, the base of the AC is three times smaller than its lateral side AB, and the perimeter is 28 cm. Find the lateral side of AB.**

Let the length of the base of the triangle be X cm, AC = X cm, then, by condition, the length AB = 3 * X cm, and since the triangle is isosceles, then BC = AB = 3 * X cm.

Then the perimeter of the triangle is:

Ravs = AB + BC + AC = 3 * X + 3 * X + X = 7 * X cm.

7 * X = 27.

X = AC = 28/7 = 4 cm.

Then AB = 3 * 4 = 12 cm.

Answer: The length of the AB side is 12 cm.

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