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.
Includes
Standards
Topics
Altitude of a Triangle
Name:
Date:
Score:
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).
Related Worksheets
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.
Transformations: Vertical and Horizontal Stretch and Shrink
Explore vertical and horizontal stretches and shrinks of functions with this comprehensive worksheet for Grade 11 math students.
Grade 11 Math: Rotations Worksheet
This worksheet focuses on understanding and applying geometric rotations in a coordinate plane for Grade 11 students.
Two-Column Proofs Worksheet
This worksheet provides practice with constructing two-column proofs for geometric theorems at a Grade 11 level, covering postulates, definitions, and theorems.
Finding Missing Sides Worksheet
Grade 11 Math worksheet focusing on finding missing sides in right triangles using the Pythagorean theorem and trigonometric ratios.
Distance Between Two Points Worksheet
Practice calculating the distance between two points on a coordinate plane using the distance formula.