A triangle with equal sides and a square with a side of 6 cm have the same perimeters. What is the side of a triangle?

We find the perimeter of the square by the formula: P = 4a = 4 x 6 = 24 cm.

The perimeter of the triangle is: P = a + b + c.

In our case, the triangle is equilateral, therefore: P = 3a.

Since the perimeters are equal: 3a = 24

a = 8 cm.

Answer: the side of the triangle is 8 cm.



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