In an isosceles trapezoid, the height drawn from the top of the obtuse angle divides into segments

In an isosceles trapezoid, the height drawn from the top of the obtuse angle divides into segments: 6.5 cm and 29.5 cm. Find the midline.

The middle line of the trapezoid is: KM = (BC + AD) / 2.

The height of the isosceles trapezoid, drawn to the larger base, divides it into two parts, the length of the larger of which is equal to half the sum of the lengths of the bases.

AH = (BC + AD) / 2 = 29.5 cm.

Then KM = AH = 29.5 cm.

Answer: The middle line of the trapezoid is 29.5 cm.



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