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isosceles trapezoid

Source: Czech and Slovak Olympiad 1980, National Round, Problem 2

September 13, 2024
geometrytrapezoid

Problem Statement

Find the side sizes of an isosceles trapezoid that has longest side 1313 cm, perimeter 2828 cm and area 2727 cm2^2. Is there such a trapezoid, if we we ask for area 27.00127.001 cm2^2 ?
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