Question

if a^2+b^2+c^2 = 200 and ab+bc+ca=90 then find that a+b+c

Answer 1

helloo

Step-by-step explanation:

a2+b2+c2=200

ab+bc+ca=90

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

(a +b +c)^2 = 200+ 2( 90)

(a +b +c )^2 =200 + 180

(a +b +c)^2 =380

a +b+ c =

$\sqrt{380} \\ \\ \\ \\ \\ \\ 2 \sqrt{190}$

hope it help you

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