The perimeter of the triangle is 106 cm, one of the sides is 1.7 times the other, and the length

| September 7, 2021 | education

The perimeter of the triangle is 106 cm, one of the sides is 1.7 times the other, and the length of the third is 25 cm, find the lengths of the sides of the triangle

It is known from the condition that the perimeter of the triangle is 106 cm. And also that one of the sides is 1.7 times larger than the second, and the length of the third is 25 cm. In order to find the lengths of the sides of the triangle, we compose and solve a linear equation.

We denote by the variable x the length of the second side of the triangle, then the length of the first is 1.7x, and the length of the third side is known to us as 25 cm.

The perimeter of a triangle is the sum of the lengths of the sides of a triangle.

x + 1.7x + 25 = 106;

2.7x = 106 – 25;

2.7x = 81;

x = 81: 2.7;

x = 30 cm second side length, first side length 1.7 * 30 = 51 cm.



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