Chapter 16 - Theorems Related with Area
Urdu Medium:
Yes! Here are some important theorems related to the area in Class 9 Mathematics, Chapter 16:
1. Theorem: If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram.
Explanation: Let the triangle and the parallelogram be on the same base BC and between the same parallels AB and CD. Then, the area of the triangle ABC is equal to half the area of the parallelogram ABCD.
2. Theorem: The area of a triangle formed by joining the midpoints of the sides of another triangle is equal to one-fourth of the area of the original triangle.
Explanation: If D, E, and F are the midpoints of sides BC, CA, and AB, respectively, of triangle ABC, then the area of triangle DEF is equal to one-fourth of the area of triangle ABC.
3. Theorem: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Explanation: If two triangles ABC and DEF are similar, then the ratio of their areas is equal to the square of the ratio of any pair of corresponding sides, such as AB/DE or BC/EF or AC/DF.
4. Theorem: The areas of two parallelograms on the same base and between the same parallels are equal.
Explanation: If two parallelograms are on the same base and between the same parallels, then their areas are equal.
These theorems are important for understanding the concept of area in triangles and parallelograms and for solving problems related to them. Remember to refer to your textbook and class notes for detailed explanations, examples, and additional theorems.
Exercise 16.1
Exercise 16.2
Maths Class 9th Chapter 16 Notes
Maths Class 9th Chapter 16 Theorems Related with Area
Maths Class 9th Chapter 16 exercise 16.1,16.2
Maths Class 9th Chapter 16 Review