Geometry Problems, Online Education

Problem 726: Isosceles Triangle, Perpendicular, Midpoint, 90 Degrees. High School, College

In the diagram below, ABC is an isosceles triangle (AB = BC). BE is perpendicular to AC and EA is perpendicular to AB. F is on AB and G is on BC extended. FG meets AC at H. If H is the midpoint of FG, prove that the measure of angle EHG is 90 degrees. 

Isosceles triangle, Perpendicular, Midpoint, 90 Degrees
 

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