Question

If a tv has a 30 inch screen and a height of 18 inches what is the width of the tv

Answer 1

24 inches

Explanation:

Since the size of the screen is measured from the lower corner to the opposite upper corner.

therefore it forms a right angled triangle.

given hypotenuse is 30inch

the height is 18 inches

using the Pythagorean theorem

`{hypotense}^(2) = {width}^(2) + {height}^(2)`

then

`{30}^(2) = {width}^(2) + {18}^(2) \\ 900 = {width}^(2) +324`

Subtract 324 from both sides

`576 = {width}^(2) \\ width = √(576) = 24 \: \: inches`

Answer 2

24 inches

Explanation:

`a^(2)` +
`b^(2)` =
`c^(2)`

`18^(2)` +
`b^(2)` =
`30^(2)`

324 +
`b^(2)` = 900

`b^(2)` = 576

`\sqrt{b^(2) }` =
`√(576)`

b = 24