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Take several cut outs of an equilateral triangle, an isosceles triangle and a scalene triangle find the altitude and median do you find anything special about them?
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Take several cut outs of an equilateral triangle, an isosceles triangl...
Altitudes and Medians of Triangles
Equilateral Triangle
- Altitude: In an equilateral triangle, the altitude is also the median and bisects the base at a right angle.
- Median: The median in an equilateral triangle is also the altitude and bisects the opposite side at a right angle.
- Special property: In an equilateral triangle, all three altitudes and medians are the same length.
Isosceles Triangle
- Altitude: In an isosceles triangle, the altitude bisects the base and the opposite angle.
- Median: The median in an isosceles triangle bisects the opposite side and the opposite angle.
- Special property: In an isosceles triangle, the altitude to the base also serves as the median and the angle bisector.
Scalene Triangle
- Altitude: In a scalene triangle, the altitude is perpendicular to the base and is drawn from the opposite vertex.
- Median: The median in a scalene triangle is drawn from a vertex to the midpoint of the opposite side.
- Special property: In a scalene triangle, there are no special relationships between the altitudes and medians.
Conclusion
In summary, the altitudes and medians of triangles have unique properties based on the type of triangle. In an equilateral triangle, the altitude, median, and bisector are all the same length. In an isosceles triangle, the altitude to the base is also the median and angle bisector. In a scalene triangle, there are no special relationships between the altitudes and medians.
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Take several cut outs of an equilateral triangle, an isosceles triangle and a scalene triangle find the altitude and median do you find anything special about them?
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Take several cut outs of an equilateral triangle, an isosceles triangle and a scalene triangle find the altitude and median do you find anything special about them? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Take several cut outs of an equilateral triangle, an isosceles triangle and a scalene triangle find the altitude and median do you find anything special about them? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Take several cut outs of an equilateral triangle, an isosceles triangle and a scalene triangle find the altitude and median do you find anything special about them?.
Take several cut outs of an equilateral triangle, an isosceles triangle and a scalene triangle find the altitude and median do you find anything special about them? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Take several cut outs of an equilateral triangle, an isosceles triangle and a scalene triangle find the altitude and median do you find anything special about them? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Take several cut outs of an equilateral triangle, an isosceles triangle and a scalene triangle find the altitude and median do you find anything special about them?.
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