# The perimeter of a triangle is 90 cm.What are the sides of a triangle if their ratio is 3: 3: 4

September 29, 2021 | education

| Let’s denote the ratio coefficient as X. If the sides of the triangle are related as 3: 3: 4, then we will designate one side as 3x, the second is also 3x, and the third will be 4x.

The perimeter of a triangle is 90 cm.The perimeter is equal to the sum of the lengths of all sides, hence:

3x + 3x + 4x = 90.

We solve the equation: 10x = 90; x = 90: 10 = 9.

We found the ratio of the sides. The first side is 3x, hence 3x = 3 * 9 = 27 cm.The second side will also be 27 cm, and the third side is 4x = 4 * 9 = 36 cm.

Let’s check, the sum of the sides should be 90 cm: 27 + 27 + 36 = 54 + 36 = 90. Correct.

Answer: the sides of the triangle are 27 cm, 27 cm and 36 cm.

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