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computational geo for the finale (Puerto Rico TST 2023.1.8)

Source:

March 24, 2024
geometry

Problem Statement

Inside a quadrilateral ABCDABCD there exists a point PP such that APAP is perpendicular to ADAD and the line BPBP is perpendicular to DCDC. Besides, AB=7AB = 7, AP=3AP = 3, BP=6BP = 6, AD=5AD = 5 and CD=10CD = 10. Calculate the area of the triangle ABCABC.
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