FAQs on What are Medians of a Triangle?

Question 1

1. What are medians of a triangle?

Accepted Answer

Ans. Medians of a triangle are line segments that connect each vertex of a triangle to the midpoint of the opposite side. In other words, they are lines drawn from each vertex to the midpoint of the opposite side.

Question 2

2. How many medians does a triangle have?

Accepted Answer

Ans. A triangle has three medians. Each vertex of the triangle has one median associated with it, which connects the vertex to the midpoint of the opposite side.

Question 3

3. What is the significance of medians in a triangle?

Accepted Answer

Ans. Medians of a triangle have several important properties and applications. They divide each other in a 2:1 ratio, meaning that the segment between the vertex and the centroid (the point where all medians intersect) is twice as long as the segment between the centroid and the midpoint of the opposite side. Medians also help in finding the centroid, which is the balancing point of the triangle.

Question 4

4. How can medians be used to find the centroid of a triangle?

Accepted Answer

Ans. To find the centroid of a triangle using medians, we need to locate the point of intersection of the three medians. The centroid is the point that divides each median in a 2:1 ratio. We can find the centroid by taking the average of the coordinates of the three vertices of the triangle.

Question 5

5. Can medians of a triangle be equal in length?

Accepted Answer

Ans. Yes, it is possible for the medians of a triangle to be equal in length. In an equilateral triangle, all three medians are equal in length, as they are also the altitudes and angle bisectors of the triangle. However, in most other triangles, the three medians have different lengths.

00:03	Introduction
00:18	What are Medians?
01:00	Centroid of a triangle
01:36	Real-life applications of the Centroid of a Triangle
02:29	Does the Centroid always lie inside the Triangle?
More

00:03	Introduction
00:18	What are Medians?
01:00	Centroid of a triangle
01:36	Real-life applications of the Centroid of a Triangle
02:29	Does the Centroid always lie inside the Triangle?
More

What are Medians of a Triangle Video Lecture - Class 7

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