Question

if a^2+^2+c^2=25 and ab+bc+ca=23 then a+b+c=?

Answer 1

a

2

+b

2

+c

2

=250 & ab+bc+ac=3, find a+b+c

→ the general formula

(a+b+c)

2

=a

2

+b

2

+c

2

+2(ab+bc+ac)

=250+2(3)

=250+6

∴(a+b+c)

2

=256

∴a+b+c=

256

∴a+b+c=16

Step-by-step explanation:

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Answer 2

Answer:

(a+b+c)^2 = a^2 + b^2 + c^2 +2ab + 2bc + 2ca

=(a^2 + b^2 + c^2) + 2(ab + bc + ca )

= 25 + 2(23)

= 25 + 46

= 71

a+b+c = 8.4