# Area of Parallelogram and Triangles Class-9 RS Aggarwal ICSE Maths

Area of Parallelogram and Triangles Class-9 RS Aggarwal ICSE Mathematics Solutions Goyal Brothers Prakashan Chapter-12. We provide step by step Solutions of Exercise / lesson-12 Area of Parallelogram and Triangles for ICSE **Class-9 RS** Aggarwal Mathematics .

Our Solutions contain all type Questions with Exe-12 to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

## Area of Parallelogram and Triangles Class-9 RS Aggarwal ICSE Mathematics Solutions Goyal Brothers Prakashan Chapter-12

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## Notes on Area of Parallelogram and Triangles

Areas of parallelograms and triangles for class 9 notes are given here. Here, we are going to discuss some of the geometrical figures. A detailed explanation of areas of parallelograms and triangles

The area represents the amount of planar surface being covered by a closed geometric figure

### Common Base and Between the Same Parallels Line

Two shapes are stated to be on the common base and between the same parallels if:

a) They have a common side.

b) The sides parallel to the common base and vertices opposite the common side lie on the same straight line parallel to the base.

## Theorems

### Parallelograms on the Common Base and Between the Same Parallels

Two parallelograms are said to be on the common/same base and between the same parallels if

a) They have a common side.

b) The sides parallel to the common side lie on the same straight line.

Theorem: Parallelograms that lie on the common base and between the same parallels are said to have equal in area

### Triangles on the Common Base and Between the Same Parallels

Two triangles are said to be on the common base and between the same parallels if

a) They have a common side.

b) The vertices opposite the common side lie on a straight line parallel to the common side

Theorem: Triangles that lie on the same or the common base and also between the same parallels are said to have an equal area

If two triangles have equal bases and are equal in area, then their corresponding altitudes are equal.

### A Parallelogram and a Triangle Between the Same parallels

A triangle and a parallelogram are said to be on the same base and between the same parallels if

a) They have a common side.

b) The vertices opposite the common side lie on a straight line parallel to the common side

Theorem: If a triangle and a parallelogram are on the common base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram

**Exe-12 Area of Parallelogram and Triangles Class-9 RS Aggarwal ICSE Mathematics Solutions Goyal Brothers Prakashan **

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