In an isosceles trapezoid, the side = 14. It is known that a circle can be inscribed

In an isosceles trapezoid, the side = 14. It is known that a circle can be inscribed in a trapezoid. Find the length of the midline of the trapezoid.

If a circle can be inscribed into a given trapezoid, then the sums of its opposite sides are equal.

Find the sum of the sides of the trapezoid.

14 + 14 = 28.

Then the sum of the bases is also equal to 28.

Because the middle line of the trapezoid is equal to the half-sum of the bases, then we find its length.

28: 2 = 14.

Answer: the length of the middle line of the trapezoid is 14.




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