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

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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.

 

Also See
NCERT Solutions For Class 9 Maths Chapter 1 Number System NCERT Solutions For Class 9 Maths Chapter 2 Polynomials NCERT Solutions For Class 9 Maths Chapter 3 Coordinate Geometry
NCERT Solutions For Class 9 Maths Chapter 4 The Linear Equations in Two Variables NCERT Solutions For Class 9 Maths Chapter 5 Introduction to Euclid’s Theory NCERT Solutions For Class 9 Maths Chapter 6 Lines and Angles
NCERT Solutions For Class 9 Maths Chapter 7 Triangles NCERT Solutions For Class 9 Maths Chapter 8 Quadrilaterals NCERT Solutions For Class 9 Maths Chapter 10 Circles
NCERT Solutions For Class 9 Maths Chapter 11 Constructions NCERT Solutions For Class 9 Maths Chapter 12 Heron’s Formula NCERT Solutions For Class 9 Maths Chapter 13 Surface Areas and Volumes
NCERT Solutions For Class 9 Maths Chapter 14 Statistics NCERT Solutions For Class 9 Maths Chapter 15 Probability

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