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# The length of two sides of a right triangle are d/3 and d/4, where d >

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Math Expert
Joined: 02 Sep 2009
Posts: 58384
The length of two sides of a right triangle are d/3 and d/4, where d >  [#permalink]

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14 Jan 2019, 00:07
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Difficulty:

55% (hard)

Question Stats:

55% (01:41) correct 45% (02:00) wrong based on 40 sessions

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The length of two sides of a right triangle are d/3 and d/4, where d > 0. If one of these sides is the hypotenuse, what is the length of the third side of the triangle?

A. 5d/12

B. $$\frac{d}{\sqrt{7}}$$

C. d/5

D. d/12

E. $$\frac{d\sqrt{7}}{12}$$

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Joined: 30 Dec 2018
Posts: 34
Re: The length of two sides of a right triangle are d/3 and d/4, where d >  [#permalink]

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14 Jan 2019, 00:14
The answer should lie between d/12 and 5d/12

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Re: The length of two sides of a right triangle are d/3 and d/4, where d >  [#permalink]

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14 Jan 2019, 03:45
1
Bunuel wrote:
The length of two sides of a right triangle are d/3 and d/4, where d > 0. If one of these sides is the hypotenuse, what is the length of the third side of the triangle?

A. 5d/12

B. $$\frac{d}{\sqrt{7}}$$

C. d/5

D. d/12

E. $$\frac{d\sqrt{7}}{12}$$

hypotensue would be d/3 ; as it would be the max value

so A^2 + d^2/16 = d^2/9
A^2= ((16-9) * d^2)/ 144

or say A = d sqrt 7/12
IMO E
Re: The length of two sides of a right triangle are d/3 and d/4, where d >   [#permalink] 14 Jan 2019, 03:45
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