Question

3. If a2 +b2+c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.​

Answer 1

Answer:

(a+b+c)  = 6

Step-by-step explanation:

given, a²+b²+c² = 16

and ab+bc+ca = 10

we know ,

(a+b+c)²  = a²+b²+c²+2(ab+bc+ca)

=> (a+b+c)²  = 16+2(10)

=> (a+b+c)²  = 16+20

=> (a+b+c)²  = 36

=> (a+b+c)  = √36

=> (a+b+c)  = 6