Question

If a+b+c=12,ab=12,bc=20,ac=15 then find value of a2+b2+c2

Answer 1

Step-by-step explanation:

a2+b2+C2=2ab+2bc+2ac

=24+40+30

= 94

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Answer 2

Answer:

a^2+b^2+c^2=50

Step-by-step explanation:

=> a+b+c = 12 (given)

Sqauring both sides, we get

(a+b+c)^2 = (12)^2

a^2 + b^2 + c^2 + 2ab + 2bc + 2ac = 144

a^2 + b^2 + c^2 + 2(12) + 2(20) + 2(15)= 144

a^2 + b^2 + c^2 + 24 + 40+ 30 = 144

a^2 + b^2 + c^2+94 =144

a^2 + b^2 + c^2 = 50