Problem of the Week 1213

A Rare, If Obtuse, Ratio

Find an obtuse triangle with sides of integer length and having two acute angles in the ratio 7 to 5.

Source: Dick Hess, All-Star Mathlete Puzzles, Sterling Publishing Co., New York, 2009, Problem 60. The book is a lovely collection of unusual puzzles.

[View the solution]

November 2015