Question

if a square + b square + c square is equal to 600 AB + BC + CA is equal to 212 find a + b + c​

Answer 1

Answer:

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

= (600)+ 2(ab+bc+ca)

= 600 + 2(212)

= 600+ 424

= 1024

since, (a+b+c)^2 = 1024

therefore, (a+b+c) = 32

:))

Answer 2

Answer:

32

Step-by-step explanation:

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

(a+b+c)^2 = 600 + 2(212)

(a+b+c)^2 = 1024

(a+b+c) = √1024

(a+b+c) = 32