The perimeter of an isosceles trapezoid is 38 and the midline is 12 cm. Find the side of the trapezoid.

We will solve this task in steps and explain each of them in detail.

1) 12 * 2 = 24 centimeters – the sum of the lengths of the bases of an isosceles trapezoid, since the middle line is equal to the half-sum of its bases;

2) 38 – 24 = 14 centimeters – the sum of the lengths of the lateral sides of an isosceles trapezoid;

3) 14: 2 = 7 centimeters – the length of the side of an isosceles trapezium, since in an isosceles trapezoid the sides are equal.

Answer: 7 centimeters.