If AC

Q.1 Find which of the following are sides of a right triangle.

i) 1,1,2

Here the 2 is the largest number so 2 must be a longest side(may be hypotenuse).

2

1

1

So, 1,1,2 are not the sides of right triangle.

ii) 14,48,50

Here the 50 is the largest number so 50 must be a longest side (may be hypotenuse).

50

14

14

So, 14,48,50 are the sides of right triangle.

iii) In a triangle ABC, AB = 11cm, BC = 60 cm and AC = 61 cm. Examine if ΔABC is a right triangle. If yes,which angle is equal to 90

Here the 61 is the largest number so 61 must be a longest side(may be hypotenuse).

61

11

11

11

So, 11,60,61 are the sides of right triangle.

As AC is the hypotenuse so ∠B = 90

• Introduction of Pythagorean Theorem

• Converse of Pythagorean Theorem

• Pythagorean Triples

• Application of Pythagorean Theorem

• Proof on Pythagorean Theorem