Problem 6 from the British Maths Olympiad | Inequalities | Math Olympiad Training скачать в хорошем качестве

Problem 6 from the British Maths Olympiad | Inequalities | Math Olympiad Training

This problem comes from the British Maths Olympiad Round 1 in 2010. Let a, b and c be the lengths of the sides of a triangle. Suppose that ab + bc + ca = 1. Show that (a + 1)(b + 1)(c + 1) is less than 4. Did you solve it? Let me know in the comments how you solved this problem. I’d love to hear about it! Follow me on Instagram at   / gg_maths   Test your friends and family to see if they're as quick as you. Challenge yourself to fun and interesting maths problems and start your journey as an olympiad. Maths videos by Giuliano Grasso - mathematics graduate from the University of East Anglia. I post weekly maths olympiad videos for you to try and solve. If you want to see more problems or send me your own, then subscribe here:    / @ggmaths