The figure below shows a right triangle ABC (angle B = 90 degree)
with the incircle I tangent to BC at D. The excircle E corresponding to BC is
tangent to BC and tangent to the extensions of AB and AC at F, G, and H,
respectively. The extensions of GD and FH meet at J. Prove that the
triangle GJH is an isosceles right triangle.

See also: Typography and poster of problem 1408.

Geometry Problems

Ten problems: 1411-1420

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Open Problems

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Triangle

Isosceles Triangle

Circle

Incircle

Excircle

Tangent Line

Perpendicular lines

45 degrees

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