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.
The shape shown is of an equilateral triangle sitting on top of a square.
What is the radius of the circle that circumscribes this shape?