The large side of the triangle is 18 cm. The other side is 7 cm larger than the smaller side.

| February 23, 2021 | education

The large side of the triangle is 18 cm. The other side is 7 cm larger than the smaller side. Find the smaller side if the perimeter of the triangle is 37 cm.

Let x cm be the length of the shorter side of the triangle. Then the length of the second side of the triangle is (x + 7) cm.The perimeter of the triangle is equal to the sum of the lengths of all its sides, therefore it is equal to (18 + x + (x + 7)) cm.By the problem statement, the perimeter of the given triangle is 37 cm, which means that you can write the following equality: 18 + x + (x + 7) = 37. Let’s solve the equation.

18 + x + (x + 7) = 37,

18 + x + x + 7 = 37,

2x + 25 = 37,

2x = 37 – 25,

2x = 12,

x = 12: 2,

x = 6 cm.

This means that the length of the smaller side of the triangle is x = 6 cm.

Answer: 6 cm.



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