Given that \(x^2+ y^2+ z^2= 194\), calculate z if x = 7 and y= 9

  • A \(\sqrt{10}\)
  • B 8
  • C 12.2
  • D 13.4
jamb 1990mathematics

The correct answer is B. 8

Given the information provided, we have:

\(x^2 + y^2 + z^2 = 194\)

Substituting the given values:

\(7^2 + 9^2 + z^2 = 194\)

Simplifying:

\(49 + 81 + z^2 = 194\)

\(130 + z^2 = 194\)

Now, subtracting 130 from both sides:

\(z^2 = 64\)

Taking the square root of both sides:

\(z = \sqrt{64}\)

z = 8

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