OP Malhotra Notes on Pythagoras Theorems Class-9 S.Chand ICSE Maths Ch-10. We Provide notes on it and Step by Step Answer of Exe-10(a), Exe-10(b), with Chapter Test of S Chand OP Malhotra Maths. Visit official Website CISCE for detail information about ICSE Board Class-9.
OP Malhotra Pythagoras Theorems Class-9 S.Chand ICSE Maths Ch-10 Notes
Pythagoras Theorem
The Pythagoras Theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two side.
Theorem Statement : In a right-angled triangle, the square of the hypotenuse (longest side opposite the 90° angle) equals the sum of the squares of the other two sides (legs).
Converse of Pythagoras Theorem : If the sum of the squares of two sides of a triangle equals the square of the longest side, then the triangle is a right-angled triangle.
Formula : (Hypotenuse)² = Perpendicular² + Base²
AC² = AB² + BC²
Practice Questions on Pythagoras Theorem :- Exercise-10(a)
Important Tips
- Always identify the hypotenuse correctly before applying the formula.
- The converse is crucial for proving a triangle is right-angled.
- For questions involving heights, draw a diagram to identify the right-angled triangle.
- Common Pythagorean triplets like (3,4,5), (5,12,13) and (8,15,17) are useful for rapid calculation.
Practice Questions on Proving :- Exercise-10(b)
In this chapter, we study all the topics on Pythagoras Theorems and do some practice questions also. Here we solve extra practice questions on this chapter for better understanding.
Here is the link for extra practice questions on Pythagoras Theorems :- Chapter Test
— : End of Pythagoras Theorems OP Malhotra S Chand Solutions :–
Return to :– OP Malhotra S Chand Solutions for ICSE Class-9 Maths
Thanks
Please Share with Your Friends
