The length of one side of a triangle is 36 cm, which is six-sevenths of the length of its second side

| September 11, 2021 | education

The length of one side of a triangle is 36 cm, which is six-sevenths of the length of its second side. The length of the third side is five tenths of the sum of the lengths of the first two sides. Find the perimeter of the triangle.

1. Determine the length of the second side of the triangle, taking into account that the length of the first side is 6/7 of the length of the second:

36: 6/7 = 36 * 7/6 = 42 (cm).

2. Find the sum of the lengths of the first and second sides of the triangle:

36 + 42 = 78 (cm).

3. Determine the length of the third side of the triangle as 5/13 of the sum of the lengths of the first and second sides:

78 * 5/13 = 30 (cm).

4. Determine the perimeter of the triangle as the sum of the lengths of all its sides:

P = a + b + c = 36 + 42 + 30 = 108 (cm).

Answer: The perimeter of the triangle is 108 cm.



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