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Triangles on Same Base Video Lecture - Crash Course: Class 9

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FAQs on Triangles on Same Base Video Lecture - Crash Course: Class 9

1. What is the definition of triangles on the same base?
Ans. Triangles on the same base means that two or more triangles have the same base, which is a common side. The other sides of these triangles may or may not be equal.
2. How can we determine if two triangles are on the same base?
Ans. To determine if two triangles are on the same base, we need to check if they have a common side. If the triangles share a side as their base, then they can be considered as triangles on the same base.
3. Can triangles on the same base have different heights?
Ans. Yes, triangles on the same base can have different heights. The height of a triangle is the perpendicular distance between the base and the opposite vertex. As long as the base is the same, the heights can vary.
4. What is the significance of triangles on the same base?
Ans. Triangles on the same base have a significant role in geometry, particularly in the area of triangle similarity. By analyzing triangles on the same base, we can compare their heights, side lengths, and angles to determine if they are similar or congruent.
5. How do triangles on the same base relate to the area of a triangle?
Ans. Triangles on the same base have a direct relationship with the area of a triangle. If two triangles have the same base, their areas are directly proportional to their heights. In other words, if the heights of the triangles are equal, their areas will also be equal.
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