sinisterwolf Posted January 15, 2007 Share Posted January 15, 2007 The Petpet Supplies shop is 655 metres from the Smoothie Store, 393 Metres from the Defence Magic shop, and 314 metres from the Grooming Parlour. The Defence Magic shop is 236 metres from the Grooming Parlour and 524 metres from the Smoothie Store. Assuming the distance between the Grooming Parlour and the Smoothie Store is less than the distance between the Petpet Supplies shop and the Smoothie Store, what is the distance between the Grooming Parlour and the Smoothie Store? Please round to the nearest metre. Link to comment Share on other sites More sharing options...
Rocket Man Posted January 15, 2007 Share Posted January 15, 2007 good question.. i know how to cheat. is it possible to do this without going into angles? Link to comment Share on other sites More sharing options...
playdo Posted January 16, 2007 Share Posted January 16, 2007 629 meters:confused: Link to comment Share on other sites More sharing options...
Rocket Man Posted January 16, 2007 Share Posted January 16, 2007 i'm probably out by more than a metre but the working is as follows [hide] label all corners the first letter of each name, you end up with 2 triangles, sharing the line between P and D. there are 2 solutions but a qualifier in the question makes us focus on the one where the triangles overlap. the angle at D between P and S is about 91.83 degrees the angle at D between P and G is about 53.03 degrees so the angle at D between G and S is about 38.8 degrees use the cosine rule to get the distance between G and S and you end up with a distance of 371 metres [/hide] Link to comment Share on other sites More sharing options...
sinisterwolf Posted January 28, 2007 Author Share Posted January 28, 2007 CLUE: 655, 393, and 524 is a pythagorian triple Link to comment Share on other sites More sharing options...
marjan Posted June 1, 2007 Share Posted June 1, 2007 288m? Link to comment Share on other sites More sharing options...
bored_teen Posted June 13, 2007 Share Posted June 13, 2007 this isn't one of those stupid Lenny Conundrums from Neopets, is it Link to comment Share on other sites More sharing options...
Sayonara Posted June 13, 2007 Share Posted June 13, 2007 Are you assuming straight lines that can pass through the intervening shops etc? Link to comment Share on other sites More sharing options...
John Cuthber Posted June 14, 2007 Share Posted June 14, 2007 This puzzle is sponsored by the flat earth society. Link to comment Share on other sites More sharing options...
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