MathDB
2018 Fall Team #5

Source:

April 17, 2022
geometry

Problem Statement

Let △ABC\vartriangle ABC be a right triangle such that AB=3AB = 3, BC=4BC = 4, AC=5AC = 5. Let point DD be on ACAC such that the incircles of △ABD\vartriangle ABD and △BCD\vartriangle BCD are mutually tangent. Find the length of BDBD.
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