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Question
What divides a triangle into two triangle of equal area?
What divides a triangle into two triangle of equal area?
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Solution
Median of a triangle.
A triangle is a closed flat figure having three sides, three angles and three vertices.
The median of a triangle is the line segment that connects the vertex to the opposing side's midway.
The three vertices of a triangle provide three medians. The centroid is the point where the three medians of a triangle meet.
The base lengths of the triangles into which the median splits the original triangle is the same since the median bisects the opposing side.
The areas of both triangles will be equal since the area of a triangle is entirely determined by its base and height.
Therefore, a median divides a triangle into two triangles of equal area.
Median of a triangle.
A triangle is a closed flat figure having three sides, three angles and three vertices.
The median of a triangle is the line segment that connects the vertex to the opposing side's midway.
The three vertices of a triangle provide three medians. The centroid is the point where the three medians of a triangle meet.
The base lengths of the triangles into which the median splits the original triangle is the same since the median bisects the opposing side.
The areas of both triangles will be equal since the area of a triangle is entirely determined by its base and height.
Therefore, a median divides a triangle into two triangles of equal area.
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