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PLANE GEOMETRY CREATED BY P .K. BHATTACHARYA
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DIFFERENT FIGURES OF GEOMETRICAL SHAPES
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TRIANGLE FEATURES- Three vertex,three sides and three angles.
Six parts. Three line segments. Sum of angles in a triangle must be 1800.
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Formation of triangle Two sides and included angle
Perimeter of the triangle and two base angle. Right angle triangle. Three medians . Two angles and one side Altitude or height and base. Difference of sides and one base angle. Addition of sides and angle.
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Types of triangle ACCORDING TO SIDE Equilateral triangle.
Isosceles triangle. Scalene triangle. ACCORDING TO ANGLE- Right angle triangle. Obtuse angle triangle. Acute angle triangle.
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CALCULATION FOR AREA Three sides of a,b,c are given as per unit.
2 Area = s(s-a)(s-b)(s-c) Area= (1/2)Base x Altitude or Height S =
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SOLID SHAPES Cuboid and Cube
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AREA AND VOLUME Area(Total surface Area)=2 (lxb+bh+lh)
Area(Cube)=6 x Side2 Volume=LxBxH Volume= l3
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QUADRILATERAL FEATURES- Four sides and four angles. Four vertex.
Four line segments.
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PARALLELOGRAM,RHOMBUS,SQUARE ANDRECTANGLE .
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AREA OF QUADRILATERAL Area of rectangle=L X B Area of square=(Side)2
Area of Rhombus = ½ x d1 x d2 Area of parallelogram = ½ x d1 x d2 Area of quadrilateral = Sum of the area of two triangles. Area of Trapezium = ½(Sum of the parallel two sides) x height
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APPLICATION In science, Engineering/ technology. In mathematics.
Aerospace engg. Launching of satellite. Construction and design.
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ACKNOWLEDGEMENT As per C.B.S.E.pattern. N.C.E.R.T. Books.
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