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trapezoid conditions (2019 Adygea Teachers' Geometry Olympiad p4)

Source:

June 24, 2020
geometrytrapezoidtangentialright angletrapezium

Problem Statement

From which two statements about the trapezoid follows the third: 1) the trapezoid is tangential, 2) the trapezoid is right, 3) its area is equal to the product of the bases?