how to draw a median of a triangle
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Answers
Answer:
Median: The median is a line segment that joins a vertex and the midpoint of the opposite side of a triangle.
Explanation:
Medians of a triangle and their properties:
A triangle(∆) has three meridians.
The point of concurrency of the median is called the centroid.
The centroid is the center of mass of an object of uniformly density in the shape of a triangle.
The object will balance on any line through the centroid.
The centroid is two-thirds the distance from the vertices to the midpoint on the opposite side.
Step-by-step explanation:
Now,
Constructing a median:
In every type of triangle, the median will be contained within the polygon, unlike altitudes which can lie outside the triangle.
When constructing a median, we first find the midpoint of the side opposite the desired vertex, then use a straight edge to connect the midpoint and the vertex.
How to construct three(3) medians of an acute triangle?
Let's see,
How to construct a midpoint using a compass?
The meeting point of the three medians will form the centroid of the triangle.
Clear explanation:
Constructing a median of a triangle using a compass:
1) Open the compass past the estimated midpoint of the side. Strike an arc.
2) Keeping the same setting, move to the vertex on the opposite side of the side you are working with.
3) Strike an arc such that it intersects the first arc twice.
4) Use a straight edge to find the midpoint of the side.
5) Draw a segment from that midpoint to the opposite vertex.
Note-1: Do this for all (3)three sides and you'll find the centroid of the triangle.
Note-2: Centroid: Where the 3 medians meet.
The centroid is the two-thirds down the median.
Hopefully it will help you!
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Explanation:
first draw a triangle and then draw a line from a vertex to the midpoint of opposite side
and then the line drawn is the median of the triangle .