Triangles - segments

How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm

Correct answer:

n =  1

Step-by-step explanation:

a=132=1+32=31 3+2=33+2=35=1321.6667 mm b=143=1+43=41 4+3=44+3=47=143=1.75 mm c=221=2+21=22 2+1=24+1=25=221=2.5 mm  s1=a+b=35+47=1220+1221=1220+21=1241=31253.4167 mm s2=b+c=47+25=47+410=47+10=417=441=4.25 mm s3=c+a=25+35=615+610=615+10=625=4614.1667 mm  a+b>c b+c>a c+a>b  n=1



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