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Veritas Prep
In the figure above, \(AB\) is perpendicular to \(BC\), and \(BD\) is perpendicular to \(AC\). Which of the following relationships must be true?
A. \((BD)^2=(BC)^2+(AB)^2\)
B. \(\frac{1}{(BD)^2}=\frac{1}{(BC)^2}+\frac{1}{(AB)^2}\)
C. \(\frac{1}{(BD)^2}=\frac{1}{(BC)^2}-\frac{1}{(AB)^2}\)
D. \((BD)^2=(BC+AB)^2\)
E. \((BD)^2=(BC-AB)^2\)
OA B
In the figure above, \(AB\) is perpendicular to \(BC\), and \(BD\) is perpendicular to \(AC\). Which of the following relationships must be true?
A. \((BD)^2=(BC)^2+(AB)^2\)
B. \(\frac{1}{(BD)^2}=\frac{1}{(BC)^2}+\frac{1}{(AB)^2}\)
C. \(\frac{1}{(BD)^2}=\frac{1}{(BC)^2}-\frac{1}{(AB)^2}\)
D. \((BD)^2=(BC+AB)^2\)
E. \((BD)^2=(BC-AB)^2\)
OA B
