Question

Mike’s new TV has a diagonal measurement of 55” and the length of 44.5” what is the height of his new TV

Answer 1

The height of Mike’s new television is 32.32”

Solution:

Given that Mike’s new TV has diagonal measurement of 55” and length of 44.5’’.

We have to find the height of his new TV.

For a rectangle, relation between length, height and diagonal is given as,

`(\text{ Diagonal })^(2)=(\text {length})^(2)+(\text {height})^(2)` ---- eqn 1

As generally TV is rectangular shape, substituting the given dimensions in equation 1, we can find the height of his new TV

`55^(2) = 44.5^(2) + \text { height }^(2)`

Rearranging the terms, we get

`height^(2) = 55^(2) - 44.5^(2)`

Taking square root on both sides, we get

`\text {height} = \sqrt{(55)^(2) - (44.5)^(2)}`

`=√(3025 - 1980.5)`

`=√(1044.5)`

= 32.32”

Hence height of Mike’s new television is 32.32”.