Question

Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (To the nearest whole inch)

Answer 1

The listed size is 32 inches

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:

`Diagonal^2 = Length1^2 + Length2^2`

Where:

`Length1 =28in`

`Length2 =15.7in`

So, we have:

`Diagonal^2 = 28^2 + 15.7^2`

`Diagonal^2 = 784 + 246.49`

`Diagonal^2 = 1030.49`

Take positive square roots of both sides

`Diagonal = \sqrt{1030.49`

`Diagonal = 32` --- approximated

Hence, the listed size is 32 inches