1999 AMC 8 Problem 14
Attempt Problem 14 of the 1999 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1999 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
In trapezoid the sides and are equal. The perimeter of is
Answer: D
Small hint:
Drop an altitude from
Big hint:
The two side right triangles have horizontal leg
Solution:
Let be where the altitude from to intersects
Then we have that since
We then have that
Then the perimeter is
Thus, D is the correct answer.
Problem 14 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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