NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles

The chapter deals with the basic and the core concepts of the triangles and the parallelograms. The additional features of congruent figures have been explained. Two figures having equal areas should be congruent. The relationship between various geometric figures and their areas have been established. Parallelograms which have equal bases and between the same parallels are equal in area. Further, the chapter explains the different and overlapping features of triangles and parallelograms. In the end, the chapter states the Triangles in the same area and between the same Parallel lines of a parallelogram.

• The chapter describes the various ways to solve the parallelograms and triangles.
• Activities are mentioned in the chapter, such as counting squares to confirm the parallelograms and solving the problems.
• Illustrations, graphs, and points are used to understand the concepts.
• Shapes also need not be congruent to have the same area.
• The equation to find the corresponding base of a parallelogram has been mentioned with examples.
• Various theorems have been proposed in context to the triangles and the properties of the parallelogram as well.
• The chapter also explains that any two triangles with the same base and the same area will have equal altitudes.
• In the end, the chapter talks about the median of the triangle and the area of the triangle represented by the formula- Area of triangle = half the base x-height of the base.