Math Problem of the Week

Department of Mathematics Gettysburg College

The Math Problem of the Week Contest 

Spring 2024, Number 5

Solutions Due: Saturday, February 24, 5:00 p.m.
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All the angles

Professor Lockridge draws a right triangle on the blackboard. Professor Frost then draws a line bisecting the right angle in the triangle, creating two smaller triangles. The areas of the two new triangles have ratio √3. What were all the angles in the original triangle?