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)