1958 AHSME Problems/Problem 35

Problem

A triangle is formed by joining three points whose coordinates are integers. If the $x$ -coordinate and the $y$ -coordinate each have a value of $1$ , then the area of the triangle, in square units:

$\textbf{(A)}\ \text{must be an integer}\qquad \textbf{(B)}\ \text{may be irrational}\qquad \textbf{(C)}\ \text{must be irrational}\qquad \textbf{(D)}\ \text{must be rational}\qquad \\ \textbf{(E)}\ \text{will be an integer only if the triangle is equilateral.}$

Solution

$\fbox{}$

1958 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 34	Followed by Problem 36
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1958 AHSME Problems/Problem 35

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