Geometry Problem 1308

Quadrilateral, Diagonal, Triangle, Incircle, Tangent Line, Sides, Measurement

The figure below shows a quadrilateral ABCD with sides a, b, c, and d. The incircles of triangles ABC and ADC are tangent to AC at E, and F, respectively. Prove that EF = (b + d - a - c)/2.


Geometry Problem 1308 Quadrilateral, Diagonal, Triangle, Incircle, Tangent Line, Sides, Measurement
 

Geometry Problems
1301-1310
Visual Index
Open Problems
All Problems
Quadrilateral
Triangle
Circle
Incircle
Tangent Line


View or Post a solution



Typography of problem 1308 in Motion using Mobile Apps, iPad

Click on the figure below.

 

 

Follow our magazine for
daily inspiration straight
to your Flipboard:
View my Flipboard Magazine.