The height of an isosceles trapezoid drawn from vertex C divides the base AD into segments
| February 9, 2021 | education
The height of an isosceles trapezoid drawn from vertex C divides the base AD into segments of length 8 and 15. Find the length of the base BC.
An isosceles trapezoid has sides of the same length. The bases of the trapezoid are parallel.
Let us consider into what parts the height of the CК (let’s call it so) from the top of C is the base of AD.
AD is divided into 2 parts AK = 15, CD = 8.
Let us lower the height of ВM from the top B to the base of AD. AK = AM + MK. since AK = 15, AM = 8, we can find MK = AD-AM, MK = 18-8 = 7.
The part of the base of the MC is parallel and the same in length to the base of the BC, which means BC = 7.
Answer: BC = 7.
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