Question

Q19.If a^2 + b^2 + c^2 = 34 and ab + bc + ca = 26, find a + b + c.

Answer 1

Answer:

7396

Step-by-step explanation:

Formula,

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

a^2+b^2+c^2=34 ; (ab+bc+ac)=26

= 34+ 2(26)

=86

Taking square root on both sides

(a+b+c) = 7396

Answer 2

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we know (a+b+c)²=a²+b²+c²+2(ab+bc+ca)

(a+b+c)²=34+2(26)

(a+b+c)²=34+52=86

a+b+c=√86