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Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1956 AMC 12/AHSME
26
26
Part of
1956 AMC 12/AHSME
Problems
(1)
Uniquely Determining A Triangle
Source:
2/15/2009
Which one of the following combinations of given parts does not determine the indicated triangle?
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base angle and vertex angle; isosceles triangle
<span class='latex-bold'>(A)</span>\ \text{base angle and vertex angle; isosceles triangle}
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A
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base angle and vertex angle; isosceles triangle
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B
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vertex angle and the base; isosceles triangle
<span class='latex-bold'>(B)</span>\ \text{vertex angle and the base; isosceles triangle}
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B
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vertex angle and the base; isosceles triangle
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C
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the radius of the circumscribed circle; equilateral triangle
<span class='latex-bold'>(C)</span>\ \text{the radius of the circumscribed circle; equilateral triangle}
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C
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the radius of the circumscribed circle; equilateral triangle
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D
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one arm and the radius of the inscribed circle; right triangle
<span class='latex-bold'>(D)</span>\ \text{one arm and the radius of the inscribed circle; right triangle}
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D
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one arm and the radius of the inscribed circle; right triangle
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E
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two angles and a side opposite one of them; scalene triangle
<span class='latex-bold'>(E)</span>\ \text{two angles and a side opposite one of them; scalene triangle}
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E
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two angles and a side opposite one of them; scalene triangle
circumcircle