SOLUTION: Good day, Can you please help me with this problem? Find the area of a cyclic quadrilateral whose two sides measure 4 and 5 units and whose diagonal coincides with a diameter of

Algebra ->  Circles -> SOLUTION: Good day, Can you please help me with this problem? Find the area of a cyclic quadrilateral whose two sides measure 4 and 5 units and whose diagonal coincides with a diameter of      Log On


   

Question 1000381: Good day, Can you please help me with this problem?
Find the area of a cyclic quadrilateral whose two sides measure 4 and 5 units and whose diagonal coincides with a diameter of the circle. Suppose the radius of the circumscribing circle is 2√3 units.
Thank you so much!
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Here are some hints. You can do this problem once you have them.
The diagonal is the circle's diameter. You are given the circle's radius, so you know the length of the diameter.
According to Thale's theorem any triangle that has three points on a circle and include one side that is a diameter, must be a right triangle.
You know the length of two sides of two different right triangles. Use that information to find the third side of both triangles.
Then find the area of each triangle using Herons Formula.