Maths Olympiad Prep

Library / /105 of 520

Number theory Difficulty 5.6 AIME, harder Prove it

5. Using problem 4 , show that the area of a right triangle with integer sides is never a perfect square.

Solution

None

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.