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(325) 2

Part of 1992 Tournament Of Towns

Problems(1)

TOT 325 1992 Spring Α J2 ADE is right iff c:b:a =3 : 4 : 5

Source:

6/9/2024
Consider a right triangle ABCABC, where AA is the right angle, and AC>ABAC > AB. Points EE on ACAC and DD on BCBC are chosen so thatAB=AE=BD AB = AE = BD. Prove that the triangle ADEADE is right if and only if the ratio AB:AC:BCAB : AC : BC of sides of the triangle ABCABC is 3:4:53 : 4 : 5.
(A. Parovan)
geometryright triangleratio