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# ABC and DEF are right triangles. Each side of ∆ABC is twice

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ABC and DEF are right triangles. Each side of ∆ABC is twice [#permalink]  24 Apr 2018, 09:28
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69% (01:01) correct 30% (00:38) wrong based on 13 sessions

ABC and DEF are right triangles. Each side of ∆ABC is twice the length of the corresponding side of ∆DEF.

 Quantity A Quantity B The area of ∆DEF/The area of ∆ABC $$\frac{1}{2}$$

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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[Reveal] Spoiler: OA

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Re: ABC and DEF are right triangles. Each side of ∆ABC is twice [#permalink]  04 May 2018, 04:07
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Area of triangle is 1/2*base*height

For right angle triangle, base and height form 2 sides of the triangle.

As the values of both of them are double, 1/2*b*h would become 1/2*2b*2h =4*1/2*b*h

So B which is 1/2 is greater than A which is 1/4
Re: ABC and DEF are right triangles. Each side of ∆ABC is twice   [#permalink] 04 May 2018, 04:07
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