Carcass wrote:
Attachment:
triangle.jpg
\(d > c\)
Quantity A |
Quantity B |
a |
d - b |
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.
Let's first focus on the red triangle below.
Since all 3 angles must add to 180°, we can conclude that the 3rd angle must equal
180 - (a + b)Now focus on the highlighted line below.
Since angles on a line must add to 180°, we can write: [
180 - (a + b)] + c = 180
Simplify left side to get: 180 - a - b + c = 180
Subtract 180 from both sides to get: -a - b + c = 0
Add a to both sides: -b + c = a
Add b to both sides:
c = a + b we'll use this information shortly....
GIVEN:
Quantity A: a
Quantity B: d - b
Add b to both quantities to get:
Quantity A: a + b
Quantity B: d
Since already concluded that
c = a + b, we can replace
a + b with
c to get:
Quantity A:
cQuantity B: d
Finally, we're told that d > c, so the correct answer is B
Cheers,
Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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