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PLANE GEOMETRY

PLANE GEOMETRY. CREATED BY. P .K. BHATTACHARYA. DIFFERENT FIGURES OF GEOMETRICAL SHAPES. TRIANGLE. FEATURES- Three vertex,three sides and three angles. Six parts. Three line segments. Sum of angles in a triangle must be 180 0. Formation of triangle. Two sides and included angle

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PLANE GEOMETRY

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  1. PLANEGEOMETRY CREATED BY P .K. BHATTACHARYA

  2. DIFFERENT FIGURES OF GEOMETRICAL SHAPES

  3. TRIANGLE • FEATURES- • Three vertex,three sides and three angles. • Six parts. • Three line segments. • Sum of angles in a triangle must be 1800.

  4. 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.

  5. Types of triangle • ACCORDING TO SIDE • Equilateral triangle. • Isosceles triangle. • Scalene triangle. • ACCORDING TO ANGLE- • Right angle triangle. • Obtuse angle triangle. • Acute angle triangle.

  6. CALCULATION FOR AREA • Three sides of a,b,c are given as per unit. a + b + c 2 Area = s(s-a)(s-b)(s-c) Area= (1/2)Base x Altitude or Height S =

  7. SOLID SHAPES • Cuboid and Cube

  8. AREA AND VOLUME • Area(Total surface Area)=2 (lxb+bh+lh) • Area(Cube)=6 x Side2 • Volume=LxBxH • Volume= l3

  9. QUADRILATERAL • FEATURES- • Four sides and four angles. • Four vertex. • Four line segments.

  10. PARALLELOGRAM,RHOMBUS,SQUARE ANDRECTANGLE .

  11. 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

  12. APPLICATION • In science, Engineering/ technology. • In mathematics. • Aerospace engg. • Launching of satellite. • Construction and design.

  13. ACKNOWLEDGEMENT • As per C.B.S.E.pattern. • N.C.E.R.T. Books.

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