The length of one side of the triangle is 8cm, the length of the other side is half the length of the first

The length of one side of the triangle is 8cm, the length of the other side is half the length of the first, and the length of the third side is 6cm less than the sum of the lengths of the first two sides. Find the perimeter of the triangle.

Let a, b, c be the lengths of the sides of the triangle. Then we have:

a = 8 cm;

b = a / 2 = 8/2 = 4 cm;

c = (a + b) – 6 = (8 + 4) – 6 = 12 – 6 = 6 cm.

The perimeter of a triangle is equal to the sum of its three sides: P = a + b + c = 8 + 4 + 6 = 18 cm.

Answer: the perimeter of the triangle is 18 cm.