## Playing with Cyclic Quadrilaterals
*May 27, 2011*

*Posted by Saketh in : bonus , trackback*

Alex has created a model of a cyclic quadrilateral using some modelling clay. He observes that it has the following properties:

- It has a side of length $3$ and a side of length $5$.
- Its diagonals are perpendicular to each other.
- The sum of the lengths of its diagonals is $10$.

SeungIn sees a spider crawling on the model and attempts to swat it. Unfortunately, he ends up squishing the quadrilateral instead. Both of its diagonals shrink by exactly $1$ unit, but they remain perpendicular to each other. Determine the area of the new shape.

## Comments»

no comments yet - be the first?