Hello, alexmahone!
I have a start on this problem, but haven't finished it.
Let ABCD be a quadrilateral in which AB is parallel to CD and perpendicular to AD.
, and the area of the quadrilateral is 4.
If a circle can be inscribed in the quadrilateral, find its radius. Code:
D - - - x - - - C
- o-------*-*-*---o
: | * : *\
: | * : *
: |* :r *
: | : \
: * : *\
2r * * * \
: * : * \
: | : \
: |* :r * \
: | * : * \
: | * : * \
- o-------*-*-*---------------o
A - - - - - - 3x - - - - - B
is a trapezoid with two right angles.
Its height is , its bases are
The area of a trapezoid is: .
So we have: .
Now where can I find another equation?