Question

If ${a}^{2} + {b}^{2} + {c}^{2} = {250}$ and a + b + c = 25, find the value of ab + bc + ca.

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Answer 1

SOLUTION:-

Given:

a² + b² + c² = 250 &

a + b + c = 25

Therefore,

By using a formula, we have:

=)(a+b+c)²=a² + b² + c²+ 2(ab+bc+ca)

=) (25)²= 250 + 2(ab+ bc +ca)

=) 625 = 250 + 2(ab + bc + ca)

=) 2.5 = 2(ab+bc+ca)

=) (ab+ bc+ ca)= 2.5/2

=) (ab + bc + ca) = 1.25

Hope it helps ☺️

Answer 2

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