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In the diagram below, ΔABC is inscribed in circle P. The distances from the center of circle P to each side of the triangle are shown.

Answer the following questions:
What is the length of the radius of the circle shown?
What is the length of AB and AC?

In the diagram below, ΔABC is inscribed in circle P. The distances from the center-example-1
User Etgar
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1 Answer

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Supposing the sides with 6 and 8 is a right angle, you can create a new line from C and P, and find the length using the equation of a²+b²=c² or 6²+8²=c², with c equaling the radius of the circle.

After finding c, you will have to find the length from C to the midpoint of AC, using the same equation a²+b²=c². If both the lengths of C to the midpoint of AC, and A to the midpoint of AC are equal, you can do b+b to find the length of AC.

Using the same approach, you can find AB. Hope this makes sense, if not, I can clarify more.
User Joshua Alger
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