Question

Fan and medal for help. I can't figure this out. I'd really appreciate someone explaining how to get the answer so I can learn and try to solve them on my own. The pic has all the info. http://i67.tinypic.com/2dukpyw.jpg

Answer 1

Use pythagorean theorem to write 3 equations, one equation for each triangle. Then you can solve for the variables with the 3 equations since you will have 3 equations and 3 variables.

Answer 2

The third triangle is not a right triangle, you cannot use the Pythagorean theorem on non right triangles.

Answer 3

Is this for a trig class?

Answer 4

Ah nevermind, they are all three right triangles.

Answer 5

What would the three equations look like? Why would I need three to get one answer? Will each equation answer be the same? @anyhonyym

Answer 6

No, it's just a geometry lesson.

Answer 7

@anthonyym

Answer 8

Hm I can't view your image anymore

Answer 9

Oops, here.

Answer 10

There will actually be 3 answers because you need to find the values for 3 variables

Answer 11

Are you familiar with the pythagoran theorem? a^2 + b^2 = c^2

Answer 12

So I'd need to find y and z in order to find x?

Answer 13

I think so yes, but all I have in my material is this example.

Answer 14

I think I'm suppose to be finding and using geometric means...

Answer 15

Oh I forgot about that...
But yes, to solve with the Pythagrean theorem (which equates 3 sides) you will need variable y which you find with variable z.
You can go ahead and use those corollary equations.

Answer 16

Are the three examples the three equations you were talking about?

Answer 17

No, the 3 equations were to be found by using pythagrean theorem on each of the triangles.

Answer 18

Okay I used the C-1 and came up with 4/x=x/9, 5/z=z/9 which is 36, 45 then finding the square root is 6, 6.70 ... did I do that right? and should I do C-2 now?

Answer 19

C-2 is 4/y = y/5 > 20 > which is then 4.47 with square root.
C-3 is Y9=XB which I don't think is right... @anthonyym

Answer 20

I used the answer from C-1 which was 6 and it was right. I still don't know how I got the answer though. Like why wasn't it the 6.70, 4.47 or the C-3 option lol

Answer 21

You need to use pythogoras theorem here. Do you know that ? @Jazzy99

Answer 22

I didn't know that's what I'm supposed to use. My material just says something about corollaries. a^2 + b^2 = c^2 this is the Pythagoras theorem I know, but I don't know how or which values to plug into it. @priyar