tangent segment of 2 circles (2021 Adygea Teachers' Geometry Olympiad p1)
Source:
March 31, 2021
geometrytangent
Problem Statement
a) Two circles of radii and are tangent externally. Line touches the first circle at point , and the second at point . Find .
b) The distance between the centers and of circles of radii and is . Line touches the first circle at point , and the second at point and intersects . Find .