Elementary Geometry For College St...
Solutions
Elementary Geometry For College St...
A triangle with sides of lengths
To find:
The length of radius of the inscribed circle.
Formula:
Area of a triangle with an inscribed circle:
If P is the perimeter of the triangle and r is the length of radius of its inscribed circle, then the area A of the triangle is given by
Calculation:
The lengths of sides of triangle is given as
Perimeter of triangle is sum of lengths of all sides of triangle.
Thus, perimeter
The area of triangle A is given as
Let the radius of inscribed circle be r in.
Let’s substitute the values of P and A in the formula
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