Question

A computer company features a new model with a larger 20-inch flat-panel display. The size is the diagonal length of the screen. Older models include 15 and 17 inch screens.
1) What are possible dimensions of the older 15-inch model?
2) Is the 20 inch model twice as large as the 15 inch one?
3) What model woud be twice as large as the 17 inch model?

Answer 1

Looks like a Pythagorean question

Answer 2

I think so, but they only give the diagonal.

Answer 3

Probably why I guess the question asks for possible dimensions

Answer 4

Yeah, but how can I find the dimensions with onnly the diagonal?

Answer 5

Well this means for problem 1:
\[15^2 = a^2 + b^2\]

Answer 6

I guess we can choose any dimensions as long as it equals this

Answer 7

I guess so, but any?

Answer 8

hmm

Answer 9

So I could do 10.6 for both?

Answer 10

How did you get 10.6?

Answer 11

15^ is 200
200 dvided by is 10.6

Answer 12

Okay I see now

Answer 13

That's the only way I can think of doing this

Answer 14

@DanJS @triciaal @bibby

Answer 15

I think if we assume that the other sides are equivalent is the only way

Answer 16

So if we do this then we can just do this for the sides now:
\[c^2 = 2a^2\]

Answer 17

So the only answer I can think for number 1 is a 10.6 in. by 10.6 in. screen

Answer 18

if you meant 15^2 then that would be 225 not 200

Answer 19

I get 10.6 with 225 so it seems like a typo for the same number in mind

Answer 20

i was thinking of a ratio
the new is 20 the old is 15
4:3