The figure below shows a right triangle ABC (angle B = 90 degree)
with the altitude BH. The incircle I is tangent to BC at D. The excircle E corresponding to BC is
tangent to BC at G and tangent to the extension of AB at F. FD extended and BH meet at J. Prove that the
triangle JBG is an isosceles triangle (BJ = BG).

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

Altitude

Circle

Incircle

Excircle

Tangent Line

Perpendicular lines

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