One side of the triangle is 2 cm smaller than the other and 2 times smaller than the third.

| September 5, 2021 | education

One side of the triangle is 2 cm smaller than the other and 2 times smaller than the third. Find the sides of the triangle if its perimeter is 22 cm.

Let the first side of the triangle be X centimeters, then the second side is 2 + X centimeters, and the third side is 2X centimeters.

The perimeter of a triangle is the sum of the lengths of all its sides. According to the condition of the problem, the perimeter of this triangle is 22 centimeters. Let’s compose and solve the equation:

X + (2 + X) + 2X = 22;

X + 2 + X + 2X = 22;

2X + 2X = 22 – 2;

4X = 20.

X = 20: 4;

X = 5.

The first side is 5 centimeters, then the second:

5 + 2 = 7 (centimeters) – the length of the second side.

And the third:

5 * 2 = 10 (centimeters) – the length of the third side.

Answer: 5 cm; 7 cm; 10 cm.



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