2007 AMC 8 Problem 14
Attempt Problem 14 of the 2007 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 2007 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
The base of isosceles is and its area is What is the length of one of the congruent sides?
Answer: C
Small hint:
Draw the altitude from the top vertex to the base.
Big hint:
In an isosceles triangle, that altitude splits the base into two equal parts.
Solution:
Construct as the altitude from to
Then which gives us that
From this, we apply the Pythagorean Theorem on This gives us that
Thus, C is the correct answer.
Problem 14 in other years
- 1985 AMC 8
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