Anyone experienced out there, please suggest what level UKMT this might be pitched at I'd be so grateful. many thanks.
A right-angled triangle starts out in position (1). It is rotated about point 𝐴 into
position (2). It is then rotated about point 𝐵 into position (3). Finally, it is rotated
about point 𝐶 into position (4). Given that 𝐴𝑃 = 𝐵𝑃 = 𝐶𝑃 = 10 cm, find the total
length of the path traced out by point 𝑃. Take 𝜋 = 3.14. (Pic attached)