2019年SAT考试经典数学练习题解析2

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In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ?

A. 18

B. 13.5

C. 9

D. 4.5

E. 3

10.Correct Answer: D

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 = ½ base x height

=1/2 x 9 = 4.5

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