Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how
is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Why?
Answers
Answer
Width of TV screen = 24 Inch and TV will not fit into the cabinet
Step-by-step explanation:
Rithika buys an LED TV which has a 25 inches screen
TV screen size is always Diagonal
Diagonal = 25 inch
Height of TV screen = 7 inch
Width of TV screen = W inch
Applying Pythagoras theorem
25² = 7² + W²
=> W² = 625 - 49
=> W² = 576
=> W = 24
Width of TV screen = 24 Inch
Rithika TV cabinet is 20 inches wide
20 < 24
=> TV will not fit into the cabinet
Answer:
Take the sides of a right angled triangle
triangle ABCas
a = 7 inches
b = 25 inches
r =?
By Pythagoras theorem,
b ^ 2 = a ^ 2 + c ^ 2
25 ^ 2 = 7 ^ 2 + c ^ 2
· c ^ 2 = 25 ^ 2 - 7 ^ 2 =>
= 62549 576
:. c ^ 2 = 24 ^ 2
→ 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.