The area of the largest triangle that can be inscribed

The largest triangle that can be inscribed in a semi-circle will have a base equal to the diameter and a height equal to the radius of the semi-circle. Last updated on Feb 14, This is the final result for the cycle.

Given a rectangle of length and breadth. The task is to find the area of the biggest triangle that can be inscribed in it. Examples :. Below is the implementation of the above approach:. Skip to content. Change Language.

The area of the largest triangle that can be inscribed

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A rectangle is a quadrilateral that has opposite side equal and parallel. The adjacent side are at 90o. And a triangle is a closed figure with three sides. The largest triangle inscribed within a rectangle. Has its base equal to the length of the rectangle and height of the triangle is equal to the breadth of the rectangle. Menu Categories. Area of the largest triangle that can be inscribed within a rectangle?

The area of the largest triangle that can be inscribed

One could start by saying that the isosceles triangle with largest area inscribed in a triangle is also an equilateral triangle. However if you need a formal demonstration of this statement read the first part of this explanation. We can obtain the height h in function of r and alpha in this way:.

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Approach: So we know the ellipse is just the scaled shadow of a circle. The biggest triangle in the ellipse is then a scaled up version of the biggest triangle in the circle. Using a little geometry and taking symmetry into account, we can understand that the biggest such triangle is the equilateral one.

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