Answer:
The listed size is 32 inches
Step-by-step explanation:
Given
See attachment for television
Required
The listed size
The listed size is calculated by the diagonal of the television.
This is calculated as using Pythagoras theorem as follows:
[tex]Diagonal^2 = Length1^2 + Length2^2[/tex]
Where:
[tex]Length1 =28in[/tex]
[tex]Length2 =15.7in[/tex]
So, we have:
[tex]Diagonal^2 = 28^2 + 15.7^2[/tex]
[tex]Diagonal^2 = 784 + 246.49[/tex]
[tex]Diagonal^2 = 1030.49[/tex]
Take positive square roots of both sides
[tex]Diagonal = \sqrt{1030.49[/tex]
[tex]Diagonal = 32[/tex] --- approximated
Hence, the listed size is 32 inches