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Example Questions
Example Question #21 : 2 Dimensional Geometry
On the XY plane, line segment AB has endpoints (0, a) and (b, 0). If a square is drawn with segment AB as a side, in terms of a and b what is the area of the square?
Possible Answers:
Cannot be determined
Correct answer:
Explanation:
Since the question is asking for area of the square with side length AB, recall the formula for the area of a square.
Now, use the distance formula to calculate the length of AB.
let
Now substitute the values into the distance formula.
From here substitute the side length value into the area formula.
Example Question #451 : Sat Subject Test In Math I
Give the area of
to the nearest whole square unit, where:
Possible Answers:
Cannot be determined
Correct answer:
Explanation:
The area of a triangle, given its three sidelengths, can be calculated using Heron's formula:
,
where
, , and are the lengths of the sides, and .Setting,
, , and ,
and, substituting in Heron's formula:
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