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

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 CISCE for detail information about ICSE Board Class-9.

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

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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:

Hypotenuse^{2} = Perpendicular^{2} + Base^{2}
= a^{2} + b^{2} |

**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**** = √(a ^{2}**

**+ b**

^{2})**Example of Pythagoras theorem:**

**Use of Pythagoras theorem:**

### 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

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