MathDB

circle

Source: Austria 1991

July 10, 2009

geometry proposedgeometry

Problem Statement

Let

AB

be a chord of a circle

k

of radius

r

, with AB\equal{}c.

(a)

Construct the triangle

ABC

with

C

on

k

in which a median from

A

or

B

is of a given length

d.

(b)

For which

c

and

d

is this triangle unique?

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