Find the perimeter of the triangle if it is larger than the right side by 7 m, the second 8, the third by 9 m.

From the condition it is known that the perimeter of the triangle is greater than the first side by 7 m, the second by 8 m, the third by 9 m. And we need to find the perimeter of the triangle.

We start by marking the perimeter of the triangle behind x m and then we can write the lengths of the sides as (x – 7) m, the second side (x – 8) m, and the third as (x – 9) m.

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

P = a + b + c;

x – 7 + x – 8 + x – 9 = x;

We solve the equation:

3x – x = 7 + 8 + 9;

2x = 24;

x = 12 cm perimeter of the triangle.

Answer: 12 cm.



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