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Class 9: Perimeters and Area of Plane Figures – Lecture Notes

Perimeter and Area of Plane Figures

Triangle

Let denotes the sides of the Triangle. Then:

1.       Perimeter

2.       Semi-Perimeter

3.       Area

4.       Area

Right-angled Triangle

Let be the base, be the height (or perpendicular) and be the Hypotenuse. Then,

1.       Perimeter

2.       Area

3.       Hypotenuse

Isosceles Right – angled triangle

Let the equal sides be .

1.       Hypotenuse

2.       Perimeter

3.       Area

Equilateral Triangle

Let each of the side is . Then

1.       Perimeter

2.       Height

3.       Area

Isosceles Triangle

Let the equal sides be . Let the base be . Then

1.       Perimeter

2.       Height

3.       Area

Rectangle

Let the length and breadth . Then

1.       Perimeter

2.       Area

3.       Diagonal

Square

Let the side of the square . Then

1.       Perimeter

2.       Area

3.       Diagonal

Parallelogram

Let the two adjacent sides of the parallelogram be and

1.       Perimeter

2.       Area

Rhombus

A parallelogram that has all the sides equal is called a rhombus. If and are the diagonals, then

1.       Side

2.       Perimeter

3.       Area

Trapezium

A trapezium is a quadrilateral two of whose sides are parallel. A trapezium whose non-Parallel Sides are equal is known as an isosceles trapezium.

Let and be the parallel sides and be the distance between the parallel sides. Then

1.       Area

Quadrilateral

If and are the perpendicular distances from the diagonal of the quadrilateral from the vertices and respectively. Then,

1.       Area



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Class 9: Perimeters and Area of Plane Figures – Lecture Notes

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