Correct Answer - Option 4 : 36 cm, 77 cm, and 84 cm
Concept used:
A right-angled triangle follows the Pythagoras theorem
Hypotenuse2 = Perpendicular2 + Base2
Calculations:
Checking the given options for the Pythagoras theorem,
Option 1
⇒ 202 + 212 = 292
It follows the Pythagoras theorem, thus these are the sides of a right-angled triangle
Option 2
⇒ 602 + 912 = 1092
It follows the Pythagoras theorem, thus these are the sides of a right-angled triangle
Option 3
⇒ 392 + 802 = 892
It follows the Pythagoras theorem, thus these are the sides of a right-angled triangle
Option 4
⇒ 362 + 772 ≠ 842
It doesn't follow the Pythagoras theorem, thus these are not the sides of a right-angled triangle
∴ 36 cm, 77 cm, and 84 cm are not the sides of a right-angled triangle