# ABCD is an isosceles trapezoid, where AD = 26cm, BC = 13cm, BE is perpendicular to the AD side.

ABCD is an isosceles trapezoid, where AD = 26cm, BC = 13cm, BE is perpendicular to the AD side. What is the relationship between the vectors AE and CB?

In an isosceles trapezoid, the height drawn from the apex of an obtuse angle divides the larger base into two segments, the length of the smaller of which is equal to the half-difference of the lengths of the bases of the trapezoid.

AE = (AD – BC) / 2 = (26 – 13) / 2 = 13/2 = BC / 2.

If, in an isosceles trapezoid, the larger base is twice the smaller base, then | AE | = | ВС | / 2 or | ВС | = 2 * | AE |.

Answer: | Sun | = 2 * | AE |.

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