The midline of a trapezoid around the circle is 9, one of the sides is 7. Find the other side.
| April 3, 2021 | education
Since a circle is inscribed in the trapezoid, the sum of the lengths of its opposite sides is equal.
AB + CD = BC + AD.
The middle line of a trapezoid is equal to half the sum of the lengths of its bases.
(BC + AD) / 2 = KM = 9 cm.
BC + AD = 2 * 9 = 18 cm.
Then AB + CD = 18 cm.
CD = 18 – AB = 18 – 7 = 11 cm.
Answer: The length of the second side is 11 cm.
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