Introduction of Pythagorean Theorem

Covid-19 has led the world to go through a phenomenal transition .

E-learning is the future today.

Stay Home , Stay Safe and keep learning!!!

In this section we will discuss about the introduction of Pythagorean theorem.

A right angled triangle has one right angle and two acute angles. The side opposite to the right angle is called the hypotenuse . The other two sides are called its legs. According to the right triangle hypotenuse is the longest side than the legs. In a right angled triangle, the sides which contain the right angle are usually referred to as the base and perpendicular.


Pythagorean theorem : It states that the square of hypotenuse is equal to the sum of the squares of other two legs.

(Hypotenuse ) ² = (base ) ² + ( Perpendicular ) ²
( AB ) ² = ( BC ) ² + ( AC ) ²
c ² = a ² + b ²
Examples :

Q.1 Find the missing sides of the triangle using Pythagorean theorem.

1)

Solution :
By Pythagorean theorem

C ² = a ² + b ²

x ² = 3 ² + 4 ²

x ² = 9 + 16

x ² = 25

x = √25

x = 5

2)

Solution :
By Pythagorean theorem

c ² = a ² + b ²

(45) ² = (27) ² + b ²

2025 = 729 + b ²

b ² = 2025 -729

b ² = 1296

b = √1296

b = 36

3) A man goes 10 m due East and then 24 m due North. Find the distance from the starting point.

Solution :

By Pythagorean theorem,

c ² = a ² + b ²

⇒ ( OB ) ² = 10 ² + 24 ²

= 100 + 576

= 676

( OB) ² = 676

∴ OB = √676
∴ OB = 26 cm.

---

Pythagorean Theorem

• Introduction of Pythagorean Theorem
• Converse of Pythagorean Theorem
• Pythagorean Triples
• Application of Pythagorean Theorem
• Proof on Pythagorean Theorem

Home Page

Covid-19 has affected physical interactions between people.

Don't let it affect your learning.