How many altitudes can be drawn in a triangle?

Prepare for the NYSTCE 222 – Childhood Mathematics Exam with interactive quizzes. Use flashcards and multiple choice questions, with hints and explanations for each question. Ace your test!

In any triangle, an altitude is a perpendicular segment from a vertex to the line containing the opposite side. Regardless of the type of triangle—whether it's scalene, isosceles, or equilateral—there are always three vertices, which allows for exactly three distinct altitudes. Each altitude is associated with one of the triangle's vertices, dropping down to the line that forms the opposite side.

Since each vertex corresponds uniquely to one altitude, this leads to the conclusion that a triangle can indeed have three altitudes. Consequently, understanding the concept of altitudes reinforces the properties of triangles and their geometrical characteristics, demonstrating the relationship between angles and sides within these shapes. Thus, the correct answer is that three altitudes can be drawn in a triangle.

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