If a^2+b^2+ c^2=89 and (ab+bc+ca)=16 find (a+b-c)
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HI
Step-by-step explanation:
Answered by
1
Step-by-step explanation:
lets go to formula
(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca
this can also write as
(a+b+c)^2 = a^2 + b^2 + c^2 + (ab + bc + ca) + (ab + bc + ca)
then substitute the values
(a+b+c)^2 = 89 + 16 +16
(a+b+c)^2 = 121
(a+b+c)^2 = (11)^2
then
(a+b+c) = 11
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