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

See also: Typography and poster of problem 1408.

Geometry Problems

Ten problems: 1411-1420

Visual Index

Open Problems

All Problems

Triangle

Isosceles Triangle

Circle

Incircle

Excircle

Tangent Line

Perpendicular lines

45 degrees

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