Question

if a^2+b^2+c^2=50 and ab+bc+ca=47find a+b+c​

Answer 1

Step-by-step explanation:

(a+b+c)² = a²+b²+c²+2ab+2bc+2ca

(a+b+c)²= 50 + 2(47)

(a+b+c)² = 50+94

(a+b+c)²= 144

a+b+c = √144

a+b+c = 12

Answer 2

Answer:

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

so (a+b+c)^2= a^2+b^2+c^2+2ab+2bc+2ca=50+2(47)

(a+b+c)^2= 50+94

(a+b+c)^2= 144

a+b+c= √144

a+b+c= 12

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