Mathematics · Geometry
Two circles with radii a and b respectively, touch each other externally. Let c be the radius of a third circle that touches these two circles externally as well as a common tangent to the two circles. Then which of the following relations is true?
- 1√b - √a = 1√c
- 21√a + 1√b = 1√c✓
- 31√a - 1√b = - 1√c
- 41√a - 1√b = 1√c
Correct answer
1√a + 1√b = 1√c
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