How to find the maximum area of a rectangle inscribed in an equilateral triangle

12.07.2018 | by Micah
In the other words, try to draw an equiateral triangle of smallest area which covers a square. The radius of the circle is the circum radius, of the triangle. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Then, we can complete the square to find.

Let A be the area of the rectangle.

How to find the maximum area of a rectangle inscribed in an equilateral triangle
But the area of the right triangle may also be calculated as the sum of the areas of triangle BEC and BEA. I do not know what I should start by doing. Area of a triangle is more when it has bigger sides. Could you please help me to start solving this problem, give me a hint or two. Find sides a and b of triangle, if two sides of rectangle lie on a and. If you enjoyed the video I'd be honored if you subscribe to my YouTube channel or share it on Facebook or Twitter. That is why a reasonable Palestinian state must be the outcome of negotiations with Israel, and not the result of a thoughtless vote by the United Nations.
How to find the maximum area of a rectangle inscribed in an equilateral triangle
O get the max area for triangle, the circum centre of the triangle has to be the centre of the circle. If this doesnt happen, go away and do come back until it does. The graph of Ax as a function of x is shown below. This video walks you through the steps of solving a problem that requires us to figure out the area of an equilateral triangle inscribed in a circle.