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 ?

b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?

Respuesta :

Answer:

a) 34.64 inches

b) The TV will not fit inside the TV cabinet

Step-by-step 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