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Which is greater x or 90
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26 Sep 2018, 14:59
26 Sep 2018, 14:59
Expert Reply
00:00
Question Stats:
89% (00:21) correct
10% (00:12) wrong based on 58 sessions
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Quantity A |
Quantity B |
\(x\) |
\(90\) |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: x vs 90
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01 Oct 2018, 10:36
01 Oct 2018, 10:36
1
sandy wrote:
Attachment:
Capture.JPG
Quantity A |
Quantity B |
x |
90 |
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.
First notice that IF the measurements were 6, 8, 10, then we'd have a RIGHT TRIANGLE
In this case, x = 90 degrees
HOWEVER, we want the 3rd side to have length 10.5 (while keeping the other 2 lengths of 6 and 8)
To increase the 3rd side from a length of 10 to a length of 10.5, just "grab" the 2 vertices (shown below) and pull them apart.
When we do this, the 90-degree angle OPENS UP to be greater than 90 degrees.
In other words, x > 90
Answer: A
Cheers,
Brent
Re: x vs 90
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13 Dec 2019, 11:32
13 Dec 2019, 11:32
1
In this case, if x was 90 the side opposite to it (hypotenuse) is 10 . If the angle opposite to 10 is 90 then what would the angle opposite to 10.5. Definitely greater that 90 based on the fact "In a triangle, the larger the angle opposite to side, the larger the side."
