Question
Download Solution PDFIf (a + b + c) = 16, and (a2 + b2 + c2) = 90, find the value of (ab + bc + ca).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
(a + b + c) = 16
(a2 + b2 + c2) = 90
Formula used
(a + b + c)2 = (a2 + b2 + c2) + 2(ab + bc + ca)
Calculation
162 = 90 + 2(ab + bc + ca)
⇒ 256 - 90 = 2(ab + bc + ca)
⇒ 166 = 2(ab + bc + ca)
⇒ (ab + bc + ca) = 166/2
⇒ (ab + bc + ca) = 83
The value is 83.
Last updated on Jul 7, 2025
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