Altitude of a Triangle Worksheet
Explore the properties and calculation of altitudes in various types of triangles, including exercises on finding altitude lengths and equations.
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Altitude of a Triangle
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Define the term 'altitude of a triangle' and describe its key properties.
2. In an obtuse-angled triangle, where do the altitudes intersect?
Inside the triangle
Outside the triangle
On one of the vertices
On one of the sides
3. The point where the three altitudes of a triangle intersect is called the .
4. Consider a triangle with vertices A(1, 2), B(7, 2), and C(4, 6). Calculate the length of the altitude from vertex C to side AB. Show your steps.
5. In a right-angled triangle, two of its altitudes are the legs of the triangle.
True
False
6. An equilateral triangle has a side length of 10 cm. Find the length of its altitude. (Hint: Use the Pythagorean theorem).