Agricultural Engineering Practice Exam

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If the altitude of one triangle is 3 units more than its base, what is the relationship between height and base for these triangles?

Height is less than the base

Height is equal to the base

Height exceeds the base by a constant

The correct answer indicates that the height of the triangle exceeds the base by a constant amount. In the scenario given, it is stated that the altitude (height) of the triangle is 3 units more than its base. This establishes a direct mathematical relationship where the height can be expressed as the base plus 3 units.

This relationship implies that for any triangle that adheres to this definition, regardless of the actual measurements of the base, the height will always be a constant additional amount above that base length. Thus, if you consider any base measurement \( b \), the height \( h \) can be represented as \( h = b + 3 \). This demonstrates that the height increases uniformly with the base, maintaining that consistent difference of 3 units.

In contrast, the other options do not accurately reflect the relationship stated in the question. For instance, if height were less than the base, equal to the base, or twice the base, it would contradict the specific detail provided regarding the 3-unit difference. Each of those scenarios would suggest a varying relationship between height and base that does not hold true in the context given. Thus, the relationship specified—where the height consistently exceeds the base by a constant—is the accurate interpretation of the

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Height is twice the base

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