Problem 419: Triangle, Cevian, Incircle, Excircle, Inradius, Exradius, Congruence

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The figure shows an isosceles triangle ABC with AB = BC = 5/7AC. The inradius of triangle BEC and the exradius of triangle ABE are equal to 17. Find the inradius of triangle ABC. Post a comment or solution.
 

Isosceles triangle, incircle, radius, congruence, inradius
 

See Also:

 

Classical Theorems

 

Related Geometry topics

Related Geometry Topics:
Computational, Manifold, Topology, String theory, Coordinate, Analytical, Trigonometry, Projective, Algebraic, Differential, Symplectic, Lie theory, Fractal, Dimension theory, Computer graphics, Atiyah, Gromov, Perelman.

 

Triangle, Angle, Altitude, Side, Measurement

Proposed Problem 420.
Triangle, Altitude, Angles, Sides, Measurement.

 

Triangle, Incircle, Inradius, Tangent

Proposed Problem 418.
Triangle, Incircle, Inradius, Equal Tangent circles, Radius.

 

Tangent circles, Angles

Proposed Problem 417.
Tangent circles, Tangent lines, Angles.

 

Area of a triangle, Cevian, Trisector

Proposed Problem 416.
Triangle, Cevians, Trisectors, Area.

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