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A C \& B D are perpendicular to each other.
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06 May 2025, 13:04
06 May 2025, 13:04
Expert Reply
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Question Stats:
87% (02:14) correct
12% (02:03) wrong based on 8 sessions
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\(A C \& B D \text { are perpendicular to each other. }\)
GRE rhombus.png [ 21.38 KiB | Viewed 477 times ]
Attachment:
GRE rhombus.png [ 21.38 KiB | Viewed 477 times ]
Quantity A |
Quantity B |
w |
z |
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Re: A C \& B D are perpendicular to each other.
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09 May 2025, 04:00
09 May 2025, 04:00
Expert Reply
Column A: $\(w=\sqrt{18^2+7^2}=\sqrt{373}\)$
Column B: $\(z^2=y^2+x^2\)$
$$
\(\begin{aligned}
& =25^2-7^2+30^2-18^2=1525-373=1148 \\
& \Rightarrow z=\sqrt{1148}
\end{aligned}\)
$$
Hence Column B is greater than Column A . Therefore, the correct answer is $B$.
Column B: $\(z^2=y^2+x^2\)$
$$
\(\begin{aligned}
& =25^2-7^2+30^2-18^2=1525-373=1148 \\
& \Rightarrow z=\sqrt{1148}
\end{aligned}\)
$$
Hence Column B is greater than Column A . Therefore, the correct answer is $B$.
gmatclubot
Re: A C \& B D are perpendicular to each other. [#permalink]
09 May 2025, 04:00
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