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# helppp

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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

#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
+1

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
+13581
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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).

!

Apr 8, 2022
edited by asinus  Apr 8, 2022