Enigma 1718: Joe’s new property
3 October 2012
Posted by on
From New Scientist #2885, 6th October 2012 [link]
Joe thinks he has found, by trial and error, a new property of triangles. He asked Penny to mark the points A along the sides of a triangle of her choice, each point to be a percentage P of the length of the side from the nearest corner. Then she had to join the points to form a second triangle and repeat the process to form a third triangle with points B. Penny found that the lengths of the sides of this third triangle were 52 per cent of the corresponding sides of her original.
What was the value of P?