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The median of a triangle divides it into...

The median of a triangle divides it into two

A

triangles of equal area

B

congruent triangles

C

right angled triangles

D

isosceles triangles

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To solve the question, we need to understand the properties of a median in a triangle and how it divides the triangle into two smaller triangles. ### Step-by-Step Solution: 1. **Identify the Triangle and Median**: - Let's consider triangle ABC. - Let D be the midpoint of side BC. Therefore, AD is the median of triangle ABC. 2. **Understanding the Median**: - By definition, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. - In our case, AD is the median, and D is the midpoint of BC, which means BD = DC. 3. **Dividing the Triangle**: - The median AD divides triangle ABC into two smaller triangles: ABD and ACD. 4. **Area of the Triangles**: - The area of triangle ABD is equal to the area of triangle ACD. - This is because they share the same height from vertex A to line BC and have the same base length (BD = DC). 5. **Conclusion**: - Therefore, we can conclude that the median of a triangle divides it into two triangles of equal area. ### Final Answer: The median of a triangle divides it into two triangles of equal area. ---
To solve the question, we need to understand the properties of a median in a triangle and how it divides the triangle into two smaller triangles. ### Step-by-Step Solution: 1. **Identify the Triangle and Median**: - Let's consider triangle ABC. - Let D be the midpoint of side BC. Therefore, AD is the median of triangle ABC. ...
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