MathDB

Construct the square...

Source: South Africa 1999

September 30, 2005

Problem Statement

A,\ B,\ C

and

D

are points on a given straight line, in that order. Show how to construct a square

PQRS

, with all of

P,\ Q,\ R

and

S

on the same side of

AD

, such that

A,\ B,\ C

and

D

lie on

PQ,\ SR,\ QR

and

PS

produced respectively.