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Two triangles, which is greater: x or y
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30 Nov 2018, 17:08
30 Nov 2018, 17:08
Expert Reply
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Question Stats:
85% (00:51) correct
14% (00:57) wrong based on 92 sessions
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Quantity A |
Quantity B |
x |
y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Two triangles, which is greater: x or y
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11 Jan 2019, 17:20
11 Jan 2019, 17:20
A: 25-13=12
B:25-11= 14
Hence B.
B:25-11= 14
Hence B.
Re: Two triangles, which is greater: x or y
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11 Jan 2019, 21:05
11 Jan 2019, 21:05
1
Using Pythagoras theorem,
For the right-angled triangle that contains x
=> \(5^2 = (\sqrt{13})^2 + x^2\)
=> => \(x^2 = 5^2 - 13\)
=> \(x = \sqrt{12}\)
For the right-angled triangle that contains y
=> \(5^2 = (\sqrt{11})^2 + y^2\)
=> => \(y^2 = 5^2 - 11\)
=> \(y = \sqrt{14}\)
Hence y is greater than x
For the right-angled triangle that contains x
=> \(5^2 = (\sqrt{13})^2 + x^2\)
=> => \(x^2 = 5^2 - 13\)
=> \(x = \sqrt{12}\)
For the right-angled triangle that contains y
=> \(5^2 = (\sqrt{11})^2 + y^2\)
=> => \(y^2 = 5^2 - 11\)
=> \(y = \sqrt{14}\)
Hence y is greater than x
