A circle is inscribed in the trapezoid. The sum of the lengths of the side st. = 26 find the length of the midline.

univerkov | July 11, 2021 | education

1. A, B, C, D – the tops of the trapezoid. AB + CD = 26 units. MK is the middle line.

2. A circle can be inscribed in a trapezoid only if the following conditions are met: the sum of the lengths of the opposite sides must be equal to:

BC + AD = AB + CD.

3. MK = (BC + AD) / 2.

4. ВС + АD = 26 units of measurement.

(ВС + АD) / 2 = 13 units.

Therefore, MK = 13 units of measurement.

Answer: MK = 13 units of measurement.

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