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Problems Geometry Plane geometry Triangles Relationship of side lengths and angles of a triangle. Solving triangles. Relations between sides and angles of a triangle (other)

13–15 2.0

Two intersecting circles of radius \(R\) are given, and the distance between their centers is greater than \(R\). Prove that \(\angle ECD = 3\angle CAD\).

Problem #PRU-57651

Problems Geometry Plane geometry Triangles Relationship of side lengths and angles of a triangle. Solving triangles. Relations between sides and angles of a triangle (other)

14–14 2.0

Find all triangles in which the angles form an arithmetic progression, and the sides form: a) an arithmetic progression; b) a geometric progression.