From Foggott to Urr

Answer

The roads are all straight and level on the plains of Oblivia. Some distances in kilometers are given in the guide:

  Whair Foggott Urr
Gawn 225 540 1296
Whair 0 585 1521

How far is it from Fogott to Urr?

Answer:
A rough sketch shows that Whair, Gawn and Urr lie in a straight line, since 225 + 1296 = 1521.

A more careful sketch suggests that angle FGW = 90 degrees, which can be confirmed since

5852 = 5402 + 2252

(Converse of the Theorem of Pythagoras).

It follows that FU2 = 5402 + 12062, so FU = 1404.

  • The winner of the R20 prize voucher is Tiaan Towsen (Hoeërskool Brackenfell)