Area of a Triangle using Radius and Perimeter

Area of a triangle can be calculated using its perimeter and the radius of the circle which is inscribed in the triangle.

Worked Examples of Area of a Triangle using Radius and Perimeter

Area of a Triangle using Radius and Perimeter
(a)    Find an expression for the area of \(\triangle LOM \).


(b)    Show that the area of \( \triangle KLM \) is given by \( \displaystyle A = \frac{1}{2} Tr \), where \(T\) is the perimeter of \( \triangle KLM \).

(c)    Find how far from the foot of the fence the board touches the ground.
circle and triangle

(d)    Find the radius of the second circle.
Circles and Triangles

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