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#1 2015-04-20 06:46:15
Base Of Triangle:
Directions:
Question:
In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC?
Option A):
9
Option B):
4.5
Option C):
13.5
Option D):
18
Correct Answer is Option B):
4.5
Explanation:
If we take AE as the base of triangle AEC, then the height is CD.
The height of the triangle is therefore, 9 (given).
To find the base we need to see that triangles AEB and CDE are similar. The ratio AB: CD, is therefore equal to the ratio AE: ED. The given information shows that the ratio is 3:9, or 1:3. Now dividing AD (4) in this ratio gives us AE as 1.
The area of AEC = base x height
=1/2 x 9 = 4.5
Failure is the first step towards seccess.
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2015-04-20 06:46:15
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