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Elementary Geometry for College St...
Solutions
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)
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b)
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a. To find:
The length of radius of inscribed circle for a triangle with sides of lengths
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
b. To find:
The length of radius of inscribed circle for a triangle with sides of lengths
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