Question: Please answer using power of a point and without trigonometry. Thank you. In the diagram, four circles of radius 1 with centres P. Q. R.

Please answer using power of a point and without trigonometry. Thank you.

In the diagram, four circles of radius 1 with centres P. Q. R. and S are tangent to one another and to the sides of A ABC, as shown. A R 's B C The radius of the circle with center R is decreased so that . the circle with center R remains tangent to BC. . the circle with center It remains tangent to the other three circles, and . the circle with center / becomes tangent to the other three circles. The radii and tangencies of the other three circles stay the same. This changes the size and shape of A.ABC. r is the new radius of the circle with center R r is of the form a+ vb Find a +b+c

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