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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter The Triangle and its Properties, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q.
How many medians a triangle can have?
- a)1
- b)2
- c)3
- d)none of these
Correct answer is 'C'. Can you explain this answer?
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Q: How many medians can a triangle have?
Answer:
A triangle can have three medians.
Explanation:
A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. In other words, a median divides a side of a triangle into two equal parts.
Here are some key points to understand the number of medians a triangle can have:
1. Definition of a median: A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.
2. Properties of a triangle: A triangle has three sides and three vertices.
3. Number of medians: Each vertex of a triangle can be connected to the midpoint of the opposite side to form a median. Since a triangle has three vertices, it can have three medians.
4. Intersection point: The three medians of a triangle intersect at a single point, called the centroid. The centroid is the point of concurrency of the medians.
5. Centroid: The centroid is the center of mass of the triangle. It is located two-thirds of the distance from each vertex to the midpoint of the opposite side.
Example:
Consider a triangle ABC. The medians of this triangle are AD, BE, and CF, where D, E, and F are the midpoints of the sides BC, AC, and AB respectively. These medians intersect at a point G, which is the centroid of the triangle.
Summary:
In conclusion, a triangle can have three medians. Each median connects a vertex of the triangle to the midpoint of the opposite side. These medians intersect at a point called the centroid, which is the center of mass of the triangle.
Answer:
A triangle can have three medians.
Explanation:
A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. In other words, a median divides a side of a triangle into two equal parts.
Here are some key points to understand the number of medians a triangle can have:
1. Definition of a median: A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.
2. Properties of a triangle: A triangle has three sides and three vertices.
3. Number of medians: Each vertex of a triangle can be connected to the midpoint of the opposite side to form a median. Since a triangle has three vertices, it can have three medians.
4. Intersection point: The three medians of a triangle intersect at a single point, called the centroid. The centroid is the point of concurrency of the medians.
5. Centroid: The centroid is the center of mass of the triangle. It is located two-thirds of the distance from each vertex to the midpoint of the opposite side.
Example:
Consider a triangle ABC. The medians of this triangle are AD, BE, and CF, where D, E, and F are the midpoints of the sides BC, AC, and AB respectively. These medians intersect at a point G, which is the centroid of the triangle.
Summary:
In conclusion, a triangle can have three medians. Each median connects a vertex of the triangle to the midpoint of the opposite side. These medians intersect at a point called the centroid, which is the center of mass of the triangle.
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter The Triangle and its Properties, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.How many medians a triangle can have?a)1b)2c)3d)none of theseCorrect answer is 'C'. Can you explain this answer?
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