Question

if a square + b square + c square =16 and AB+BC+CA=10 find a+b+c​

Answer 1

Hey mate!!

Here's your answer...

Given,

a^2 + b^2 + c^2 = 16

ab + bc + ca = 10

We know that,

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

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

                    = 16 + 2(10)

                    = 16+20 = 36

a + b + c = √36

a + b + c =6

Therefore, a+b+c = 6

Hope it helped you...

Mark it as brainliest...

Answer 2

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

Hope helps u