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Numbers Crib Sheet 4 - Pythagoras Theorem Numbers
Pythagoras theorem applies to a triangle with lengths a, b and c as shown in diagram.
It indicates that the square of the hypotenuse is equal to the sum of the squares of the other two sides
If you look at the diagram, this means that a2 + b2 = c2
right angle triangle with sides labelled a, b and c
The table below indicates some of the "integer" values that obey the rule and form right-angled triangles.
345 and all multiples e.g.6810
51213 and all multiples e.g.102426
72425 and all multiples e.g.144850
81517 and all multiples e.g.163034
94041 and all multiples e.g.188082
116061 and all multiples e.g.22120122
123537 and all multiples e.g.247074
138485 and all multiples e.g.26168170
15112113 and all multiples e.g.30224226
166365 and all multiples e.g.32126130
17144145 and all multiples e.g.34288290
19180181 and all multiples e.g.38360362
202129 and all multiples e.g.404258
2099101 and all multiples e.g.40198202
21220221 and all multiples e.g.42440442
23264265 and all multiples e.g.46528530
24143145 and all multiples e.g.48286290
25312313 and all multiples e.g.50624626
27364365 and all multiples e.g.54728730
284553 and all multiples e.g.5690106
28195197 and all multiples e.g.56390394
29420421 and all multiples e.g.58840842
31480481 and all multiples e.g.62960962
32255257 and all multiples e.g.64510514
335665 and all multiples e.g.66112130
33544545 and all multiples e.g.6610881090
35612613 and all multiples e.g.7012241226
367785 and all multiples e.g.72154170
36323325 and all multiples e.g.72646650
37684685 and all multiples e.g.7413681370
398089 and all multiples e.g.78160178
39760761 and all multiples e.g.7815201522
40399401 and all multiples e.g.80798802
41840841 and all multiples e.g.8216801682
43924925 and all multiples e.g.8618481850
44117125 and all multiples e.g.88234250
44483485 and all multiples e.g.88966970
485573 and all multiples e.g.96110146
48575577 and all multiples e.g.9611501154
51140149 and all multiples e.g.102280298
52165173 and all multiples e.g.104330346
52675677 and all multiples e.g.10413501354
56783785 and all multiples e.g.11215661570
57176185 and all multiples e.g.114352370
6091109 and all multiples e.g.120182218
60221229 and all multiples e.g.120442458
60899901 and all multiples e.g.12017981802
657297 and all multiples e.g.130144194
68285293 and all multiples e.g.136570586
69260269 and all multiples e.g.138520538
75308317 and all multiples e.g.150616634
76357365 and all multiples e.g.152714730
84187205 and all multiples e.g.168374410
84437445 and all multiples e.g.168874890
85132157 and all multiples e.g.170264314
87416425 and all multiples e.g.174832850
88105137 and all multiples e.g.176210274
92525533 and all multiples e.g.18410501066
93476485 and all multiples e.g.186952970
95168193 and all multiples e.g.190336386
96247265 and all multiples e.g.192494530
100621629 and all multiples e.g.20012421258
104153185 and all multiples e.g.208306370
105208233 and all multiples e.g.210416466
105608617 and all multiples e.g.21012161234
108725733 and all multiples e.g.21614501466
111680689 and all multiples e.g.22213601378
115252277 and all multiples e.g.230504554
116837845 and all multiples e.g.23216741690
119120169 and all multiples e.g.238240338
120209241 and all multiples e.g.240418482
120391409 and all multiples e.g.240782818
123836845 and all multiples e.g.24616721690
124957965 and all multiples e.g.24819141930
129920929 and all multiples e.g.25818401858
132475493 and all multiples e.g.264950986
133156205 and all multiples e.g.266312410
135352377 and all multiples e.g.270704754
136273305 and all multiples e.g.272546610
140171221 and all multiples e.g.280342442
145408433 and all multiples e.g.290816866
152345377 and all multiples e.g.304690754
155468493 and all multiples e.g.310936986
156667685 and all multiples e.g.31213341370
160231281 and all multiples e.g.320462562
161240289 and all multiples e.g.322480578
165532557 and all multiples e.g.33010641114
168425457 and all multiples e.g.336850914
168775793 and all multiples e.g.33615501586
175288337 and all multiples e.g.350576674
180299349 and all multiples e.g.360598698
184513545 and all multiples e.g.36810261090
185672697 and all multiples e.g.37013441394
189340389 and all multiples e.g.378680778
195748773 and all multiples e.g.39014961546
200609641 and all multiples e.g.40012181282
203396445 and all multiples e.g.406792890
204253325 and all multiples e.g.408506650
205828853 and all multiples e.g.41016561706
207224305 and all multiples e.g.414448610
215912937 and all multiples e.g.43018241874
216713745 and all multiples e.g.43214261490
217456505 and all multiples e.g.4349121010
220459509 and all multiples e.g.4409181018
225272353 and all multiples e.g.450544706
228325397 and all multiples e.g.456650794
231520569 and all multiples e.g.46210401138
232825857 and all multiples e.g.46416501714
240551601 and all multiples e.g.48011021202
248945977 and all multiples e.g.49618901954
252275373 and all multiples e.g.504550746
259660709 and all multiples e.g.51813201418
260651701 and all multiples e.g.52013021402
261380461 and all multiples e.g.522760922
273736785 and all multiples e.g.54614721570
276493565 and all multiples e.g.5529861130
279440521 and all multiples e.g.5588801042
280351449 and all multiples e.g.560702898
280759809 and all multiples e.g.56015181618
287816865 and all multiples e.g.57416321730
297304425 and all multiples e.g.594608850
300589661 and all multiples e.g.60011781322
301900949 and all multiples e.g.60218001898
308435533 and all multiples e.g.6168701066
315572653 and all multiples e.g.63011441306
319360481 and all multiples e.g.638720962
333644725 and all multiples e.g.66612881450
336377505 and all multiples e.g.6727541010
336527625 and all multiples e.g.67210541250
341420541 and all multiples e.g.6828401082
348805877 and all multiples e.g.69616101754
364627725 and all multiples e.g.72812541450
368465593 and all multiples e.g.7369301186
369800881 and all multiples e.g.73816001762
372925997 and all multiples e.g.74418501994
385552673 and all multiples e.g.77011041346
387884965 and all multiples e.g.77417681930
396403565 and all multiples e.g.7928061130
400561689 and all multiples e.g.80011221378
407624745 and all multiples e.g.81412481490
420851949 and all multiples e.g.84017021898
429460629 and all multiples e.g.8589201258
429700821 and all multiples e.g.85814001642
432665793 and all multiples e.g.86413301586
451780901 and all multiples e.g.90215601802
455528697 and all multiples e.g.91010561394
464777905 and all multiples e.g.92815541810
468595757 and all multiples e.g.93611901514
473864985 and all multiples e.g.94617281970
481600769 and all multiples e.g.96212001538
504703865 and all multiples e.g.100814061730
533756925 and all multiples e.g.106615121850
540629829 and all multiples e.g.108012581658
555572797 and all multiples e.g.111011441594
580741941 and all multiples e.g.116014821882
615728953 and all multiples e.g.123014561906
616663905 and all multiples e.g.123213261810
696697985 and all multiples e.g.139213941970
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