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In the triangle ABC, ab = 5, BC = 8 and AC = 7. Take a, B and C as the center respectively. Draw three circles and make them circumscribe each other. Find the radius of circle a, circle B and circle C
If the circle is circumscribed, the chord center distance is equal to the length of each side,
Let BC = a = 8, AC = b = 7, ab = C = 5,
The radii of the three circles are RA, Rb, RC,
RA+RB=5
RB+RC=8
RA+RC=7
By solving the system of linear equations of three variables, it is obtained that:
RA=2
RB=3
RC=5.
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