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

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:

$Diagonal^2 = Length1^2 + Length2^2$

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