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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? Give reason
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Solution
Take the sides of a right angled triangle ∆ABC as
a = 7 inches
b = 25 inches
c = ?
By Pythagoras theorem,
b2 = a2 + c2
252 = 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.
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