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Q.
The circumradius of a triangle with sides 55, 48 , and 73 units is______
Geometry
Solution:
The length of the sides of the triangle is 55 , 48 and 73 units.
The given triangle is a right triangle because $48-55-73$ is a Pythagorean triplet.
$73^2=55^2+48^2 $
$5329=3025+2304$
In a right triangle, the circum radius is half the hypotenuse.
In the given triangle
Hypotenuse $=73$ units
$\Rightarrow$ Circumradius $=\frac{73}{2}=36.5$ units