Altitude of a Triangle Worksheet
This worksheet focuses on understanding and identifying the altitude of a triangle, including drawing altitudes in different triangle types.
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Altitude of a Triangle
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Read each question carefully and answer to the best of your ability. For drawing questions, use a ruler to ensure accuracy.
What is an Altitude?
An altitude of a triangle is a segment from a vertex perpendicular to the opposite side (or to the line containing the opposite side). The altitude represents the 'height' of the triangle with respect to that base.
1. Which of the following best describes an altitude of a triangle?
A line segment connecting a vertex to the midpoint of the opposite side.
A line segment from a vertex perpendicular to the opposite side.
A line segment that bisects an angle of the triangle.
A line segment that passes through the center of the triangle.
2. The point where the three altitudes of a triangle intersect is called the .
3. In an obtuse triangle, at least one altitude lies the triangle.
4. Draw the altitude from vertex A to side BC for the triangle below.
5. Draw all three altitudes for the right-angled triangle below. Label the orthocenter.
6. The altitude of an equilateral triangle is also its median and angle bisector.
True
False
7. The orthocenter of an acute triangle always lies inside the triangle.
True
False
8. Explain why an altitude can sometimes fall outside the triangle.