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

Question

4 years ago

13

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?

Mathematics

1 answer:

4vir4ik [10] · Answer 1 · 2022-01-03T13:35:09+03:00

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.