The height of an isosceles trapezoid divides the large base into segments of 8 cm and 28 cm.

univerkov | September 8, 2021 | education

The height of an isosceles trapezoid divides the large base into segments of 8 cm and 28 cm. Find the midline of the trapezoid.

Let us draw the second height CK from the vertex C. Since the trapezoid is isosceles, the height BH and CK cuts off on a larger base AD equal to the segments AH = KD = 8 cm.Base AD = AH + DH = 8 + 28 = 36 cm. and CK – heights perpendicular to AD, then BC = HK = AD – AH – DK = 36 – 8 – 8 = 20 cm.

Let’s define the middle line of the trapezoid, which is equal to the half-sum of the bases.

MP = (BC + AD) / 2 = (20 + 36) / 2 = 28 cm.

Answer: The middle line of the trapezoid is 28 cm.

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