Triangle ABC has a right angle at C. ACRS and CBPQ are squares. ST
and PU are perpendicular to AB produced. Show that ST + PU = AB
A circle has centre O and angle POR = angle QOR. Construct tangents
at P and Q meeting at T. Draw a circle with diameter OT. Do P and Q
lie inside, or on, or outside this circle?
It is impossible to trisect an angle using only ruler and compasses
but it can be done using a carpenter's square.
Congratulations James Page of Hethersett High School, Norwich on
your solution to this question. Again there are many possible
methods of showing that the radius of the circle is equal to the
side of the square.