Math Olympiad Question ab=1000,bc=2000,ca=3000 a^2+b^2+c^2=?

Maths Olympiads are held all around the world to recognise students who excel in maths. The test is offered at many grade levels and provides them with numerous possibilities to win certifications, awards, and even scholarships for higher studies #matholympiad Math Olympiad Question #matholympiad

[@ToanPham-wr7xe]

😮

[@mr_pericardium]

a2= ab.ac/bc= 1500
b2=ab.bc/ca=2000/3
c2=ac.bc/ab=6000
Add them all😅

[@user-gz1xf7dm3r]

You are legend I applied same and feel funny to this video

[@PrithwirajSen-nj6qq]

ab *bc *ca = 1000*2000*3000
=6000000000
abc =10000√60
c=abc/ab=10√60
a=10000√60/2000=5√60
b=10√60/3
a^2 +b^2+c^2
=25*60+6000/9 +100*60
=125*60+2000/3
= 7500+2000/3
=(22500+2000)/3
=24500/3
Comment please.

[@mozammelworld8798y7f]

That's great. You are really genius

[@PrithwirajSen-nj6qq]

a=3k. b= 2k
ab =6k^2=1000
k =10√5/√3
Now
a^2 + b^2 + c^2
= (a +b +c) ^2 -2(ab+bc+ca)
=(11k) ^2 -2(6000)
=121*100*5/3-12000
=(60500-36000)/3=24500/3