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Elementary Geometry for College St...
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Elementary Geometry for College St...
Use the results from Exercises 36 and 37 to find the exact length of the radius of the inscribed circle for a triangle with sides of lengths
| a)
|
b)
|
(a)
To find:
The length of radius of inscribed circle for a triangle.
Formula:
Radius of inscribed circle for right angled triangle:
If a, b and c are the lengths of sides of right angled triangle (c is the length of hypotenuse), then the length of radius r of circle inscribed in a right angled triangle is
Radius of inscribed circle for any other triangle:
If a, b and c are the lengths of sides of triangle, then the length of radius r of circle inscribed in a triangle is
Where s is the semi perimeter of the triangle which is given by
Calculation:
First, let’s check whether the triangle is a right angled triangle or not.
From the given lengths of sides of triangle, the longest side measures
The sum of squares of remaining two sides
(b)
To find:
The length of radius of inscribed circle for a triangle.
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