2020 AMC 10B Problem 4


The acute angles of a right triangle are aa^{\circ} and bb^{\circ} , where a>ba>b and both aa and bb are prime numbers. What is the least possible value of bb ?

(A) 2(B) 3(C) 5(D) 7(E) 11\textbf{(A)}\ 2 \qquad\textbf{(B)}\ 3 \qquad\textbf{(C)}\ 5 \qquad\textbf{(D)}\ 7 \qquad\textbf{(E)}\ 11


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Problem Tags: Number theory

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Category: AMC 10B
Points: 1
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