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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 )

( AB )

c

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

1)

By Pythagorean theorem

C

x

x

x

x = √25

x = 5

2)

By Pythagorean theorem

c

(45)

2025 = 729 + b

b

b

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.

By Pythagorean theorem,

c

⇒ ( OB )

= 100 + 576

= 676

( OB)

∴ OB = √676

∴ OB = 26 cm.

• Introduction of Pythagorean Theorem

• Converse of Pythagorean Theorem

• Pythagorean Triples

• Application of Pythagorean Theorem

• Proof on Pythagorean Theorem

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