Question

If a

2+ b

2+ c

2= 250 and ab+ bc+ ca= 3, find a + b + c.

Answer 1

given 2a + 2b + 2c = 250

2( a +b +c ) = 250

a + b + c = 250 /2

a+b +c = 125

hope it helps !

thank you !

Answer 2

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

( a + b + c )^2 = 250 + 2 × 3

( a + b + c )^2 = 256

( a + b + c )^2 = ( ± 16)^2

( a + b + c )= ± 16