What is the area enclosed by and
The points and are the vertices of a triangle. For how many real values of is the triangle a right triangle?
Tangents are drawn from to the circle . Find the radius of the circle such that the area of the triangle formed by tangents and chord of contact is maximum.
Triangle has coodinates , , and .
Let be the point in the first quadrant such that has half the area of but both triangles have the same perimeter.
What is the length of If your solution is in a form of , submit as the answer.
is an equilateral triangle such that vertices lie on two parallel lines at a distance of 6 units. If lies between the parallel lines at a distance 4 units from one of them, then the length of the side of the triangle is of the form , where are co prime natural numbers.
Find .