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This document discusses how to calculate the area of a trapezium. It defines a trapezium as a quadrilateral with only one pair of parallel sides. It explains that to find the area, the trapezium should be divided into a rectangle and two triangles by connecting the non-parallel sides. The area formula is given as (b1 + b2)h/2, where b1 and b2 are the lengths of the two parallel sides, and h is the altitude or height.
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Area of trapezium
A trapezium is a quadrilateral with one set of parallel sides. To calculate the area of a trapezium, divide it into a triangle and rectangle by connecting the non-parallel sides. The area formula is (a + b)h/2, where a and b are the parallel sides, h is the height or altitude, and (a - b) gives the base of the triangle formed. An example calculates the area of a given trapezium using this formula.
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This document defines and provides examples of prisms. It begins by defining a prism as a solid formed by two congruent polygons in parallel planes connected by line segments. It then provides definitions for different types of prisms such as right, oblique, and triangular prisms. The document derives formulas for finding the lateral area and volume of prisms. It provides examples calculating the lateral area and volume of various prisms using the formulas. The document concludes by summarizing the key definitions and formulas for finding lateral area and volume of prisms.
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Obj. 51 Prisms and Cylinders
This document provides information about calculating the surface area and volume of prisms and cylinders. It defines right and oblique prisms, and explains that the volume formula is the same for both as V=Bh, where B is the base area and h is the altitude or height. The same is true for cylinders, where the volume is V=πr^2h. Examples are given to find the volume of various prisms and cylinders. Formulas are also provided for calculating the lateral and total surface area of prisms as S=L+2B, where L is the lateral area calculated as L=Ph, and B is the base area. For cylinders, the lateral area formula is L=C*h,
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This document discusses the properties of triangles. It defines what a triangle is, lists its six elements, and describes the different types of triangles including equilateral, isosceles, scalene, acute, right, and obtuse triangles. It covers the angle sum property, triangle inequality property, and how to find a missing angle of a triangle. Examples are given to illustrate these properties and how to determine if a triangle can be constructed based on given angles or side lengths.
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The document discusses the derivation of the formula for the area of a trapezoid. It begins by reviewing the formulas for the area of a triangle and parallelogram. It then shows that two trapezoids joined together form a parallelogram. Since a parallelogram's area is (base 1 + base 2) * height, and two trapezoids make one parallelogram, the area of a trapezoid must be half of that, or (base 1 + base 2) * height / 2. Examples are provided to demonstrate calculating the area of trapezoids using this formula.
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A trapezium is a quadrilateral with one set of parallel sides. To calculate the area of a trapezium, divide it into a triangle and rectangle by connecting the non-parallel sides. The area formula is (a + b)h/2, where a and b are the parallel sides, h is the height or altitude, and (a - b) gives the base of the triangle formed. An example calculates the area of a given trapezium using this formula.
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This document defines and provides examples of prisms. It begins by defining a prism as a solid formed by two congruent polygons in parallel planes connected by line segments. It then provides definitions for different types of prisms such as right, oblique, and triangular prisms. The document derives formulas for finding the lateral area and volume of prisms. It provides examples calculating the lateral area and volume of various prisms using the formulas. The document concludes by summarizing the key definitions and formulas for finding lateral area and volume of prisms.
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This document provides information about calculating the surface area and volume of prisms and cylinders. It defines right and oblique prisms, and explains that the volume formula is the same for both as V=Bh, where B is the base area and h is the altitude or height. The same is true for cylinders, where the volume is V=πr^2h. Examples are given to find the volume of various prisms and cylinders. Formulas are also provided for calculating the lateral and total surface area of prisms as S=L+2B, where L is the lateral area calculated as L=Ph, and B is the base area. For cylinders, the lateral area formula is L=C*h,
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The document discusses the derivation of the formula for the area of a trapezoid. It begins by reviewing the formulas for the area of a triangle and parallelogram. It then shows that two trapezoids joined together form a parallelogram. Since a parallelogram's area is (base 1 + base 2) * height, and two trapezoids make one parallelogram, the area of a trapezoid must be half of that, or (base 1 + base 2) * height / 2. Examples are provided to demonstrate calculating the area of trapezoids using this formula.
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- 2. Nithya Soman B.Ed Mathematics Reg No..18014354007 MMTC, Vilakkudi
- 4. A trapezium is a quadrilateral that has only one pair of parallel sides.
- 5. To calculate the area of a trapezium, divide it into a rectangle and two triangles
- 6. .
- 7. Now, piece together the triangular ends so that the trapezium is divided into a triangle and rectangle. The base of the triangle is the difference between the lengths of two parallel sides. That is, a – b
- 9. where b1, b2 are the lengths of each base h is the altitude (height) The area of a trapezoid is given by the formula
- 10. THANK YOU