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Sticky Note
Find the value of ab + bc + ca, when a² + b² + c² = 12 and a + b + c = 5?
  1. 13/2
  2. 9/2
  3. 17/2
  4. None of these
Explanation

Given:

a² + b² + c² = 12

a + b + c = 5

We know that:

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Expanding the equation:

5² = 12 + 2(ab + bc + ca)

25 = 12 + 2(ab + bc + ca)

Subtract 12 from both sides:

13 = 2(ab + bc + ca)

Divide by 2:

ab + bc + ca = 13/2

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