PLANE GEOMETRY

CREATED BY

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 1800.

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.

Types of triangle

ACCORDING TO SIDE Equilateral triangle. Isosceles triangle. Scalene triangle. ACCORDING TO ANGLE- Right angle triangle. Obtuse angle triangle. Acute angle triangle.

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 =

SOLID SHAPES

Cuboid and Cube

AREA AND VOLUME

Area(Total surface Area)=2 (lxb+bh+lh) Area(Cube)=6 x Side2

Volume=LxBxH Volume= l3

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

PARALLELOGRAM,RHOMBUS,SQUARE ANDRECTANGLE .

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

APPLICATION

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

ACKNOWLEDGEMENT

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