OP Malhotra Pythagoras Theorem Class-9 S.Chand ICSE Maths Ch-10. We Provide Step by Step Answer of Exe-10(a), Exe-10(b), with Chapter Test of S Chand OP Malhotra Maths . Visit official Website for detail information about ICSE Board Class-9.

## OP Malhotra Pythagoras Theorem Class-9 S.Chand ICSE Maths Ch-10

-: Select Topics :-

Exercise-10(a)

Exercise-10(b)

Chapter Test

Exercise-10

### OP Malhotra Pythagoras Theorem Class-9 S.Chand ICSE Maths Ch-10

#### Pythagoras Theorem Statement :

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.

#### Pythagoras Theorem Formula :

Consider the triangle given above:

Where “a” is the perpendicular side,

“b” is the base,

“c” is the hypotenuse side.

According to the definition, the Pythagoras Theorem formula is given as:

 Hypotenuse2 = Perpendicular2 + Base2  c2 = a2 + b2

#### Applications of Pythagoras Theorem :

• To know if the triangle is a right-angled triangle or not.
• In a right-angled triangle, we can calculate the length of any side if the other two sides are given.
• To find the diagonal of a square.

Useful For :

Pythagoras theorem is useful to find the sides of a right-angled triangle. If we know the two sides of a right triangle, then we can find the third side.

#### Formula of Hypotenuse :

The hypotenuse is the longest side of the right-angled triangle, opposite to right angle, which is adjacent to base and perpendicular. Let base, perpendicular and hypotenuse be a, b and c respectively. Then the hypotenuse formula, from the Pythagoras statement will be;
c = √(a2 + b2)

#### Example of Pythagoras theorem:

An example of using this theorem is to find the length of the hypotenuse given the length of the base and perpendicular of a right triangle.

#### Use of Pythagoras theorem:

The theorem can be used to find the steepness of the hills or mountains. To find the distance between the observer and a point on the ground from the tower or a building above which the observer is viewing the point. It is mostly used in the field of construction.

### Exercise-10.(a)

OP Malhotra Pythagoras Theorem Class-9 S.Chand ICSE Maths Ch-10

### Exercise-10.(b)

Pythagoras Theorem Class-9 S.Chand ICSE Maths Ch-10

Chapter Test

### OP Malhotra Pythagoras Theorem Class-9 S.Chand ICSE Maths Ch-10

— : End of Pythagoras Theorem OP Malhotra S Chand Solutions :–

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