is a square with . Points and are exterior to such that and .
If the length of can be represented as where and are positive integers and is not divisible by the square of any prime, then find .
The area of the largest square which can be inscribed in a triangle with side lengths is .
Find , where and are coprime, positive integers.
is a rectangle. Triangle has an area of . Triangle has an area of .
Find the area of the blue region (in ). Give your answer to 1 decimal place. (The figure is not drawn to scale. )
Note: This question is supposed to be harder than it looks like. Do not assume anything that is not stated in the problem! (Hint: Angle E is NOT 90 degrees, nor is A the midpoint of BC.)
If triangle is similar to triangle then find
There is a common tangent which intersects the three tangent circles shown above at and If and , find the area of the orange region. Use the approximation