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
An equilateral triangle is sitting on top of a square.
What is the radius of the circle that circumscribes this shape?
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 possible though, to trisect an angle using a carpenter's
square, as demonstrated by the interactivity below.
Can you explain why this works?
Can you extend the idea to trisect an obtuse angle?