Question

HELP FOR GOD'S SAKE PLEASE!! 'A standard 27 inch analog tv screen as an aspect ratio of 4:3. Use proportions and the Pythagorean theorem to calculate the lengths and widths of the screen in inches.

Answer 1

pythagorean thearam is horrible :P and I love the way you started this question lmao!

Answer 2

i know the answer my teacher just wants the work.

Answer 3

Just set up your right triangles.

For the analog TV, the hypotenuse is 27 in, the length (l) = 4x, and the width (w) = 3x. This sets up your 4:3 aspect ratio.

For the digital TV, the hypotenuse is again 27 in, the length (l) = 16x, and the width = 9x.

This will provide you with the x value for each TV so you can figure out the length and width of each.

Answer 4

If the ratio is 4:3 for the sides, then when you consider the triangle formed by adding the diagonal, you have two sides 3 and 4, meaning the hypotenuse (diagonal) is what?

Answer 5

27

Answer 6

An interesting triangle in which the hypotenuse is longer than the sum of the other sides. Do you know what the Pythagoran Theorem says?

Answer 7

well the answer to the problem is: 21.6in. by 16.2in. but I have to show the work and I tried almost everything!

Answer 8

Follow my method (: I'll let the rest of you all handle this. Peace! XD

Answer 9

noooo please help!!!

Answer 10

If you prefer, the sides are 3x and 4x, making the hypotenuse what?

Answer 11

I guess you can make the hypotunese 27, atleast thats what the teacher said...

Answer 12

These guys are way smarter than I am lol and besides at the end of tonight you'll have this solved ♥

Answer 13

Let's start from the beginning. Do you know what the Pythagorean Theorem says?

Answer 14

that kid @iCanHelp gives smart answers though lol

Answer 15

yes the pythagorean theorem says: a2 + b2 = c2

Answer 16

On the TV screen, what are a, b, and c?

Answer 17

a^2 + b^2 = c^2
(3x)^2 + (4x)^2 = 27^2 = 729
(3x)(3x) + (4x)(4x) = 729
9x^2 + 16x^2 = 729
25x^2 = 729

Does this help point you in the right direction?

Answer 18

thats the problem! I only know that you have to use proportions AND the pythagoream theorem to figure this out

Answer 19

but every method you guys are giving me I've already used, and it doesn't me the answer that is 21.6in by 16.2in

Answer 20

If you draw a triangle consisting of a height, width, and the diagonal, you have a right triangle, OK? The screen is a rectangle. Of these three, which is the hypotenuse?

Answer 21

Can i just post the whole EXACT problem to you guys so you can understand what I mean?

Answer 22

I understand what the problem means. The question is, can you see the right triangle and identify the hypotenuse out of it?

Answer 23

I don't normally like doing this and I'm sorry robspooner you're doing an excellent job explaining but...

a^2 + b^2 = c^2
(3x)^2 + (4x)^2 = 27^2 = 729
(3x)(3x) + (4x)(4x) = 729
9x^2 + 16x^2 = 729
25x^2 = 729
x = sqrt(729/25) = 5.4
3x = 3*5.4 = 16.2
4x = 4*5.4 = 21.6

Understand?

Answer 24

Of course he doesn't understand. And if he still doesn't understand when he writes down the answer, what's the point here?

Answer 25

oh mother flabber you rock so much omg thankyou so much it means so much to me you don't even know!! thankyou so much @few

Answer 26

Don't just write my answer down, crazyary8. Take the time to listen to what robspooner is saying and understand. If you're getting asked these questions, they WILL appear on tests when OpenStudy isn't available. This is a basic concept of mathematics that MUST be learned and committed to memory.

Answer 27

No, I'm really good at math..it's my strongest subject. This is the very FIRST time i have ever asked somebody desperately for math help. People always come to me. I can't just write down the answer, cause I have to explain it to my teacher as well and when I see how you did it I will figure it out. I'm not like that don't worry (:

Answer 28

how did you get the 27x though on the second line

Answer 29

27x...? Where?