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505-555 (Easy)|   Geometry|      
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honchos
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If in a right-angled triangle, the ratio of the longer leg t 06 Mar 2014, 23:26
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15% (low)

Question Stats:

77% (01:14) correct 23% (01:18) wrong based on 128 sessions

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If in a right-angled triangle, the ratio of the longer leg to the shorter is √2:1, what is the ratio of the shorter leg to the hypotenuse?

A. 1:3
B. 1:√3
C. √2:√3
D. 3:2
E. √3:1

Doubt: Actually the question is pretty straightforward but "leg" is used only for base and height? or we can use the word in question stem for any of the 3 components that makes up for a right angled triangle: Hypotenuse, base, Height.

M23-03

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Bunuel
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If in a right-angled triangle, the ratio of the longer leg t 07 Mar 2014, 02:22
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honchos
If in a right-angled triangle, the ratio of the longer leg to the shorter is √2:1, what is the ratio of the shorter leg to the hypotenuse?

1:3
1:√3
√2:√3
3:2
√3:1

Doubt: Actually the question is pretty straightforward but "leg" is used only for base and height? or we can use the word in question stem for any of the 3 components that makes up for a right angled triangle: Hypotenuse, base, Height.
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In a right triangle the sides adjacent to the right angle are called legs (or catheti, singular: cathetus).

Can you please tell me the ID (M?-?) of this question in GMAT Club's test?
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honchos
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If in a right-angled triangle, the ratio of the longer leg t 07 Mar 2014, 02:26
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honchos
If in a right-angled triangle, the ratio of the longer leg to the shorter is √2:1, what is the ratio of the shorter leg to the hypotenuse?

1:3
1:√3
√2:√3
3:2
√3:1

Doubt: Actually the question is pretty straightforward but "leg" is used only for base and height? or we can use the word in question stem for any of the 3 components that makes up for a right angled triangle: Hypotenuse, base, Height.

In a right triangle the sides adjacent to the right angle are called legs (or catheti, singular: cathetus).

Can you please tell me the ID (M?-?) of this question in GMAT Club's test?
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Bunuel,

This is the ID-
Quantitative :: Problem solving :: Geometry :: M23-03
https://screencast.com/t/sSoAzL1fpbA
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If in a right-angled triangle, the ratio of the longer leg t 07 Mar 2014, 02:30
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honchos
Bunuel
honchos
If in a right-angled triangle, the ratio of the longer leg to the shorter is √2:1, what is the ratio of the shorter leg to the hypotenuse?

1:3
1:√3
√2:√3
3:2
√3:1

Doubt: Actually the question is pretty straightforward but "leg" is used only for base and height? or we can use the word in question stem for any of the 3 components that makes up for a right angled triangle: Hypotenuse, base, Height.

In a right triangle the sides adjacent to the right angle are called legs (or catheti, singular: cathetus).

Can you please tell me the ID (M?-?) of this question in GMAT Club's test?

Bunuel,

This is the ID-
Quantitative :: Problem solving :: Geometry :: M23-03
https://screencast.com/t/sSoAzL1fpbA
Show more

Thank you very much!
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If in a right-angled triangle, the ratio of the longer leg t 09 May 2016, 08:57
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honchos
If in a right-angled triangle, the ratio of the longer leg to the shorter is √2:1, what is the ratio of the shorter leg to the hypotenuse?

A. 1:3
B. 1:√3
C. √2:√3
D. 3:2
E. √3:1

Doubt: Actually the question is pretty straightforward but "leg" is used only for base and height? or we can use the word in question stem for any of the 3 components that makes up for a right angled triangle: Hypotenuse, base, Height.

M23-03
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Attachment:
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Untitled.png [ 4.34 KiB | Viewed 3952 times ]

Since the is a right angled triangle

\({AC}^2\) = \({AB}^2\) + \({BC}^2\)

So, \({AC}^2\) = \({√2}^2\) + \({1}^2\)

Or, \({AC}^2\) = \({2}\) + \({1}\)

Or, \(AC\) = √3

Quote:
Ratio of the shorter leg to the hypotenuse
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Will be \(\frac{BC}{AC}\) => 1:√3

Hence answer will be (B)
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If in a right-angled triangle, the ratio of the longer leg t 20 Mar 2022, 10:10
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