SOLUTION: 1. triangle with leg 14 and X and hypotenuse x+2. how do you solve that? AND 2. The aspect ratio of a TV screen is the ratio of the width to

Question 954559: 1.
triangle with leg 14 and X and hypotenuse x+2. how do you solve that?
AND
2.
The aspect ratio of a TV screen is the ratio of the width to the height of the image. S regular TV has an aspect ratio of 4:3. Find the height and width of a 42-inch TV screen to the nearest tenth of an inch. (The measure given is the length of the diagonal across the screen.)
AND
3.
A "wide-screen" TV has an aspect ratio of 16:9. Find the length of a diagonal on a wide-screen TV screen that has the same height as my second question.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

1.
triangle with leg and and hypotenuse
if given hypotenuse means you have right-angle triangle, so you use Pythagorean theorem:

-> other leg
and hypotenuse
so, your triangle has sides length: , , and

2.
given: aspect ratio of
Find the height and width of a 42-inch TV screen to the nearest tenth of an inch. (The measure given is the length of the diagonal across the screen.)
let length be , width
given:
so, =>
also given that is 42-inch TV screen, means its diagonal is
you know that diagonal splits TV screen into two right-angle triangles whose legs are length and width
use Pythagorean theorem again:
....since , we can substitute it
...plug in value for

now find the length:

3.
A "wide-screen" TV has an aspect ratio of 16:9. Find the length of a diagonal on a wide-screen TV screen that has the same height as my second question.
let height be from second question:
given:
so, => =>=>
....since and

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