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