Answer:
a) 34.64 inches
b) The TV will not fit inside the TV cabinet
Explanation:
Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )
a)If it is 20 inches tall, how wide is the screen ?
We solve using the formula:
Diagonal ² = Width² + Height²
Diagonal = 40 inches
Height = 20 inches
40² = Width² + 20²
Width² = 40² - 20²
Width = √40² - 20²
Width = √(1200)
Width = 34.641016151 inches
Approximately = 34.64 inches
b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?
From the above calculation, the width of the TV = 34.64 inches
Hence the width of the cabinet has to be equal to or more than 34.64 inches
Hence, The TV will not fit inside the TV cabinet