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

Mike’s new tv has a diagonal measurement of 55” and

gautemalaismylife

05.01.2022

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

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

$=\sqrt{3025 - 1980.5}$

$=\sqrt{1044.5}$

= 32.32”

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

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Itselliekojo2218

28.02.2023

It's actually $283.20. I found out by putting the answer the other person put so I got it wrong the correct answer is $283.20 I hope this helps :)

Step-by-step explanation:

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