1958 AMC 12 Problem 31
Attempt Problem 31 of the 1958 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 1958 AMC 12 solutions, or check the answer key.
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31.
The altitude drawn to the base of an isosceles triangle is and the perimeter is The area of the triangle is:
Answer: B
Small hint:
Let each equal side be and half the base be
Big hint:
Use and
Solution:
Let each equal side be and half the base be The perimeter gives The altitude bisects the base, so Thus giving Hence so the base is The area is
Therefore, the correct answer is B.