The sides of a triangle are related as 3: 4: 6. The difference between the largest and smallest sides

univerkov | September 11, 2021 | education

The sides of a triangle are related as 3: 4: 6. The difference between the largest and smallest sides is 18 cm Find the length of the middle side.

Let us denote by variable x the value of one part of the length of the triangle. Then the length of the smallest side is 3x, the middle side is 4x, and the longest side is 6x.

Let us represent the condition of the problem in the form of an equation: the difference between the largest and smallest sides is 18 cm.

6x – 3x = 18.

3x = 18.

x = 18/3 = 6 cm.

The length of the middle side is 4x = 4 * 6 = 24 cm.

Answer: The length of the middle side of the triangle is 24 centimeters.

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