What is the longest stick that can be placed in a box 15 cm long, 20 cm wide, and 60 cm high?

ANSWERS

2016-04-20 23:06:21

make right triangles find the length of the diagonal on the ground then find the length of the diagonal from corner to corner (see diagram actually, I found a neat thing see diagram remember the pythagorean theorem so, if the legs of a right triangle=a and b and the hyptonuse is c then a²+b²=c² alright, so we look at the diagram now a²+b²=k² and c²+k²=d² but, k²=a²+b² so a²+b²+c²=d² a=15 b=20 c=60 15²+20²+60²=d² 225+400+3600=d² 4225=d² 65=d the longest stick is 65cm assuming it has no width

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