Question

if a+b+c=12 and a^2+b^2+c^2=24 find the value of ab+bc+ca ​

Answer 1

Answer:

here is your answer

I hope this will help u

Answer 2

$\huge{\mathcal{\green{Answer}}}$

$(a + b + c) {}^{2} = a {}^{2} + b {}^{2} + c {}^{2} + 2ab + 2bc + 2ca \\ (12) {}^{2} = 24 + 2(ab + bc + ca) \\ 144 = 24 + 2(ab + bc + ca) \\ 144 - 24 = 2(ab + bc + ca) \\ 120 = 2(ab + bc + ca) \\ \frac{120}{2} = (ab + bc + ca)$

$\huge{\mathcal{\orange{\boxed{(ab+bc+ca)=60}}}}$