Medians of a Triangle 8th mathematics
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This document discusses medians, centroids, and altitudes of triangles. It provides instructions on how to draw the medians of a triangle by finding the midpoints of the sides and connecting them. The medians are concurrent at the centroid. It also describes how to find the centroid by drawing the medians of a large triangle and measuring the segments from the point of concurrence to the vertices. As homework, students are asked to draw various triangles and locate points of concurrence for medians, altitudes, and orthocenter.
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This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
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Medians of a Triangle 8th mathematics
- 1. GOVERNMENT COLLEGE OF EDUCATION , PARBHANI Name: Dhiraj Sawant Class: 8th E Subject: Mathematics
- 5. MEDIANS To draw medians of a triangle : 1. Draw ABC. 2. Find the mid-point P of side AB. Draw seg CP. 3. Find the mid-point Q of side BC. Draw seg AQ. 4. Find the mid-point R of side AC. Draw seg BR. Seg PC, seg QA and seg BR are medians of ABC. Note that the medians are concurrent. Their point
- 7. The property of the centroid of a triangle : Draw a sufficiently large ABC. Draw medians ; seg AR, seg BQ and seg CP of ABC. Name the point of concurrence as G. Measure the lengths of segments from the figure and fill in the boxes in the following table.
- 9. HOME WORK Draw an acute angled PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’. Draw an obtuse angled STV. Draw its medians and show the centroid. Draw an obtuse angled LMN. Draw its altitudes and denote the orthocentre by ‘O’.