1956 AHSME Problems/Problem 26

Problem 26

Which one of the following combinations of given parts does not determine the indicated triangle?

$\textbf{(A)}\ \text{base angle and vertex angle; isosceles triangle} \\ \textbf{(B)}\ \text{vertex angle and the base; isosceles triangle} \\ \textbf{(C)}\ \text{the radius of the circumscribed circle; equilateral triangle} \\ \textbf{(D)}\ \text{one arm and the radius of the inscribed circle; right triangle} \\ \textbf{(E)}\ \text{two angles and a side opposite one of them; scalene triangle}$

Solution

Let's look at each answer choice one by one. For choice A, you can swap the base and vertex angles to obtain a different isosceles triangle, so these two criteria alone are not enough. $\boxed{A}$ is our answer.

-coolmath34

1956 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 25	Followed by Problem 27
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1956 AHSME Problems/Problem 26

Problem 26

Solution

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