The perimeter of a triangle is 210 cm. Find the length of its larger side if the aspect ratio is 3: 3: 4.

Since the ratio of the sides of the triangle is 3: 3: 4, the two smaller sides have the same length, which we denote as x centimeters. The longest will be designated as 4x / 3 centimeters.

We write the perimeter of the triangle in the form of an equation:

x + x + 4x / 3 = 210,

solve the equation

2x + 4x / 3 = 210,

10x = 630,

x = 63 (centimeters) – the length of each of the two smaller sides.

4x / 3 = 4 * 63/3 = 84 (centimeters) – the length of the longest side.

Answer: the length of the longest side of the triangle is 84 cm.