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A triangle with sides measuring 8, 15 and 17 units is inscribed in a circle. What is the radius of the circle, in units? Express your answer as a decimal to the nearest tenth.

 Apr 8, 2022

Best Answer 

 #1
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It is a right triangle which means that the hypotenuse is the diameter of the circle. Therefore, the radius is 17/2=8.5 units. 

 Apr 8, 2022
 #1
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+1
Best Answer

It is a right triangle which means that the hypotenuse is the diameter of the circle. Therefore, the radius is 17/2=8.5 units. 

Guest Apr 8, 2022
 #2
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What is the radius of the circle, in units?

 

Hello Guest!

 

The triangle with side lengths 8, 15, and 17 is a right triangle. In the x-y coordinate system, 8 is on the abscissa axis and 15 is on the ordinate axis.

Then:

\(r^2=(\frac{x}{2})^2+(\frac{y}{2})^2= (\frac{8}{2})^2+(\frac{15}{2})^2\\ r=\sqrt{ (\frac{8}{2})^2+(\frac{15}{2})^2}\)

\(r=8.5\ units\)

I came too late to the solution before my (Thales Circle).

laugh  !

 Apr 8, 2022
edited by asinus  Apr 8, 2022

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