MathDB
Easy Geometry

Source: 1984 National High School Mathematics League, Exam One, Problem 9

February 22, 2020
geometry

Problem Statement

A(1,0),B(1,0)A(-1,0),B(1,0). D(x,0)D(x,0) is a point on ABAB. CDABCD\perp AB, and CC is a point on unit circle. When xx\in________, segments AD,BD,CDAD,BD,CD can be three sides of a acute triangle.