a + b + C is equal to 6 and a square + b square + c square is equal to 20 find the value of AB + BC + CA
Answers
Answered by
8
Answer:
ab + bc + ca = 8
Step-by-step explanation:
a + b + c = 6
a² + b² + c² = 20
Using the formula,
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Substituting the values,
6² = 20 + 2(ab + bc + ca)
∴ 36 - 20 = 2(ab + bc + ca)
16 ÷ 2 = ab + bc + ca
∴ ab + bc + ca = 8.
Answered by
2
Answer:
(A+B+C)^2=36
36=A^2 + B^2 +C^2 + 2AB + 2BC +2CA
36=20 + 2(AB + BC + CA)
16=2(AB + BC +CA)
AB + BC +CA = 8
Step-by-step explanation:
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