One side of a triangle is twice the size of the other and three cm less than the third.

| April 2, 2021 | education

One side of a triangle is twice the size of the other and three cm less than the third. Find the sides of a triangle if its perimeter is 38 cm.

Let’s solve the problem using the equation, expressing the second side of the triangle in terms of x:

x cm – the second side of the triangle;

2x cm – the first side of the triangle (since it is twice as large as the second);

(2x + 3) cm – the third side of the triangle (since the first side is 3 cm less than the third, then the third is 3 cm more);

The perimeter of the triangle is 38 cm.Let’s make and solve the equation (add all the sides):

x + 2x + (2x + 3) = 38;

x + 2x + 2x + 3 = 38;

5x = 35;

x = 35/5 = 7 cm – the second side;

2x = 2 * 7 = 14 cm – first side;

2x + 3 = 14 + 3 = 17 cm – third side.

Answer: 7 cm, 14 cm, 17 cm



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