Question

Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how wide is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Why?

Answer 1

Take the sides of a right angled triangle ∆ ABC as

a = 7 inches

b = 25 inches

c = ?

By Pythagoras theorem,

b² = a² + c²

25 = 7² + c²

c² = 25² – 7² = 625 – 49 = 576

∴ c² = 24²

⇒ c = 24 inches

∴ Width of TV cabinet is 20 inches which is lesser than the width of the screen ie.24 inches. The TV will not fit into the cabinet.