Class 7 Exam > Class 7 Videos > Mathematics (Maths) Class 7 > Median of a Triangle
Median of a Triangle Video Lecture | Mathematics (Maths) Class 7
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FAQs on Median of a Triangle Video Lecture - Mathematics (Maths) Class 7
| 1. What is the definition of the median of a triangle? |  |
Ans. The 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, it divides the side into two equal segments and passes through the vertex.
| 2. How is the median of a triangle different from the centroid? | |
Ans. The median of a triangle is a line segment, while the centroid is a point. The centroid is the point where all three medians intersect. It is located two-thirds of the way from each vertex to the midpoint of the opposite side.
| 3. Can a triangle have more than one median? | |
Ans. Yes, a triangle can have three medians. Each vertex of the triangle has a corresponding median that connects it to the midpoint of the opposite side. These medians can intersect at a single point, which is the centroid.
| 4. What is the significance of the median of a triangle? | |
Ans. The median of a triangle has several important properties. It divides the triangle into two smaller triangles with equal areas. The point of intersection of the medians (centroid) is the center of gravity of the triangle. Additionally, the medians can be used to find the length of the sides of the triangle.
| 5. How can the length of a median of a triangle be calculated? | |
Ans. To calculate the length of a median of a triangle, the Pythagorean theorem can be used. If the lengths of two sides of the triangle are known, the length of the median can be found by applying the theorem to the right-angled triangle formed by the median, half of the side, and the hypotenuse of the triangle.
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Mar 07, 2025
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