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    OlympiadHardGeometry7–9

    A point PP inside rectangle ABCDABCD satisfies PA=3PA = 3, PB=4PB = 4 and PC=5PC = 5. What is the length of PDPD?

    Um ponto PP no interior do retângulo ABCDABCD satisfaz PA=3PA = 3, PB=4PB = 4 e PC=5PC = 5. Qual é o comprimento de PDPD?

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    Solution

    Step 1 of 3

    1. 1.Drop perpendiculars from PP to the four sides, cutting the rectangle into four right triangles.