1998 AMC 12 Problem 26
Attempt Problem 26 of the 1998 AMC 12 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 1998 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
26.
In quadrilateral it is given that angles and are right angles, and Then
Answer: B
Small hint:
The two right angles make cyclic with as a diameter
Big hint:
Find in triangle , then use the extended law of sines
Solution:
Because the quadrilateral is cyclic, and is its diameter. In triangle By the extended law of sines, Thus B is correct.
Problem 26 in other years
- 1950 AMC 12
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