In a triangle, one side is 8 cm less than the other and 4 cm less than the third.Find the lengths of the sides of the triangle if its perimeter is 54 cm.
Let’s solve this problem using the equation.
Let the length of the first side of the triangle be x centimeters, then the length of the second side (x + 8) centimeters, and the length of the third side (x + 4) centimeters. We know that the perimeter of this triangle is 54 centimeters. Let’s make the equation:
x + x + 8 + x + 4 = 54;
x + x + x + 12 = 54;
x + x + x = 54 – 12;
x + x + x = 42;
x * (1 + 1 + 1) = 42;
x * 3 = 42 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 42: 3;
x = 14 centimeters – the length of the first side;
14 + 8 = 22 centimeters – the length of the second side;
14 + 4 = 18 centimeters – the length of the third side.
Answer: 14 centimeters; 22 centimeters; 18 centimeters.
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