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Why do we define an altitude of a triangle as a perpendicular segment from a vertex to the opposite side or to a line containing the opposite side?
An altitude of a triangle is defined as a perpendicular segment from a vertex to the opposite side because this definition ensures that the height of the triangle is measured at the maximum distance from the base, which is essential for calculating the area accurately. The perpendicularity guarantees that the height is the shortest distance between the vertex and the line containing the opposite side, thereby maintaining the geometric properties of the triangle. This definition is universally applicable, even in non-right triangles, ensuring consistency in geometric analysis.
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What is a segment from a vertex of a triangle perpendicular to the opposite side of the triangle?
An altitude.
What is a segment that passes through of vertex and is perpendicular to the opposite side?
The segment that passes through a vertex and is perpendicular to the opposite side is called the altitude of the triangle.
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite sideso that the line segment is perpendicular to that line?
Altitude
Is an altitude always sometimes or never perpendicular to the opposite side?
An altitude in a triangle is always perpendicular to the opposite side. By definition, an altitude is a line segment from a vertex to the line containing the opposite side, forming a right angle with that side. This property holds true for all types of triangles, including acute, right, and obtuse triangles.
What is a line segment connecting the vertex of a triangle perpendicular to the opposite side?
It is an altitude.
What is the altitude of a triangle?
A segment from the vertex of a triangle perpendicular to the line containing the opposite side
A segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side is?
Altitude
An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is perpendicular to the line containing the opposite?
side
An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is to the line containing the opposite side?
perpendicular
An of a triangle is a line segment that passes through the vertex of the triangle and is perpendicular to the lines containing the opposite side?
Altitude.
What is a segment from a vertex of a triangle perpendicular to the opposite side of the triangle?
An altitude.
A perpendicular segment with one endpoint at a vertex and the other endpoint on the side opposite that vertex?
Altitude: The altitude of a triangle is a perpendicular segment that connects a vertex and its opposite side. Let's construct the altitude of a triangle using a new triangle.
What is a perpendicular segment from a vertex of a triangle to the opposite side?
altitude of a triangle.
What is a segment that passes through of vertex and is perpendicular to the opposite side?
The segment that passes through a vertex and is perpendicular to the opposite side is called the altitude of the triangle.
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite sideso that the line segment is perpendicular to that line?
Altitude
An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is?
and is perpendicular to the opposite side.
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side so the line segment is perpendicular to that line?
altitude
