Well lets look at it lets find multiples that equal 200 when multiplied first to get rid of extra work
so i just took a couple of guesses and lined them up i got really close when i did this one -200/30 = -6.666666667 30 + 6.666666667 = 23.33333333 see not quite there almost 25 but not far enough so ill try to move the numbers around little by little. -200/29.5 = -6.779661017 29.5 + -6.779661017 = 22.72033898 okay honestly after i finished this trial i wasn't sure if i was thinking straight because i completely didnt think about which way i needed to go so now i pinched myself and this time we might head the right way lol -200/30.5 = -6.557377049 30.5 + -6.557377049 = 23.94262295 so obviously we need to move up alittle more -200/31 = -6.451612903 31 + -6.451612903 = 24.5483871 HEY LOOK WE ARE ALMOST THERE!! lets try some more;) -200/31.5 = -6.349206349 31.5 + -6.349206349 = 25.15079365 see we are at 25! but lets try to get rid of as many numbers behind it as possible. -200/31.4 = -6.369426752 31.4 + -6.369426752 = 25.03057325 getting closer... -200/31.39 = -6.371455878 31.39 + -6.371455878 = 25.01854412 what does this mean? this means we can go lower... sooo here we go -200/31.38 = -6.373486297 31.38 + -6.373486297 = 25.0065137 i guess we can try lower.. -200/31.37 = -6.375518011 31.37 + -6.375518011 = 24.99448199 wait! before you leave! try 31.379 -200/31.379 = -6.37368941 31.379 + <span>-6.37368941 = 25.00531059 </span>okay so yes, i am taking the very long way but good comes to those with patience:D lets try making the third place after the decimal a little bit lower -200/31.377 = -6.374095675 31.377 + -6.374095675 = 25.00290432 yes we can take it lower so lets make it the best answer -200/31.376 = -6.374298827 31.376 + <span>-6.374298827 = 25.00170117 </span>i pray this be over soon^ lets try again.... -200/31.375 = -6.374501992 31.375 + -<span>6.374501992 = 25.00049801 </span>okay im a perfectionist... sooo lets go lower -200/31.374 = -6.37470517 31.374 + <span>-6.37470517 = 24.99929483 </span>okay so we went to low on the third place. and of course i am moving to the fourth place... -200/31.3749 = -6.374522309 31.3749 + <span>-6.374522309 = 25.00037769 </span>okay we can move lower on that place.... -200/31.3748 = -6.374542627 31.3748 + <span>-6.374542627 = 25.00025737 </span>lets try to move this along faster... -200/31.3746 = -6.374583262 31.3746 +<span> -6.374583262 = 25.00001674 </span>every number counts literally so moving lower -200/31.3744 = -6374623897 31.3744 + <span>-6374623897 = 24.9997761 we gotta put a 9 on our fifth place from our decimal sooo here we go again -200/31.37449 = -6.374605611 31.37449 + </span><span>-6.374605611 = 24.9998439 <span>OMG DO YOU UNDERSTAND WHAT THIS MEANS!!?!?! </span>okay that means our answer was two trials ago solved in other words our two numbers arreee </span><span> 31.3746 </span><span>-6.374583262 </span>hallelujah we are finished and if this is wrong i will pull my hair out.
Well, I'm not sure what you mean but Ptolemy's Theorem gives a relationship between the side lengths and the diagonals of a cyclic quadrilateral; it is the equality case of Ptolemy's Inequality. Ptolemy's Theorem frequently shows up as an intermediate step in problems involving inscribed figures.
