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Based on the figure shown, which of the following could be true?
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18 Feb 2022, 02:30
18 Feb 2022, 02:30
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A
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D
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Difficulty:
35%
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Question Stats:
68% (01:24) correct
32%
(01:26)
wrong
based on 56
sessions
Based on the figure shown, which of the following could be true?
I. a = b
II. y = z
III. a^2 + b^2 = z^2 - y^2
A. None
B. I only
C. II only
D. I and III only
E. I, II, and III
Attachment:
2020-03-24_1723.png [ 21.31 KiB | Viewed 1139 times ]
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Joined: 07 Jan 2022
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Schools: NUS '25 (A)
GMAT 1: 740 Q51 V38 
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Based on the figure shown, which of the following could be true?
[#permalink]
18 Feb 2022, 02:50
18 Feb 2022, 02:50
1
Kudos
I. a=b is possible, the base triangle is an isosceles right angled triangle with a=b=5/√2
II. y, 5, z form a right angled triangle with z as the hypotenuse. y can never be equal to z as hypotenuse is always greater than the other two sides.
III. a²+b²=25 (assume base triangle is a right triangle) and y²+25=z² or z²-y²=25 (right triangle given) hence, a²+b²=z²-y²
Hence, only I and III could be possible, option D.
Posted from my mobile device
II. y, 5, z form a right angled triangle with z as the hypotenuse. y can never be equal to z as hypotenuse is always greater than the other two sides.
III. a²+b²=25 (assume base triangle is a right triangle) and y²+25=z² or z²-y²=25 (right triangle given) hence, a²+b²=z²-y²
Hence, only I and III could be possible, option D.
Posted from my mobile device
Based on the figure shown, which of the following could be true?
[#permalink]
18 Feb 2022, 21:04
18 Feb 2022, 21:04
1
Kudos
Bunuel wrote:
Based on the figure shown, which of the following could be true?
I. a = b
II. y = z
III. a^2 + b^2 = z^2 - y^2
A. None
B. I only
C. II only
D. I and III only
E. I, II, and III
Attachment:
2020-03-24_1723.png
I. a = b =\(\sqrt{5}\) ... Possible
II. y = z... Not possible as such a rt triangle is not possible
III. \(a^2 + b^2 = z^2 - y^2 --->\\
a^2 + b^2 = 5^2\)
Possible
Ans D
Posted from my mobile device
