Are the two triangles similar? How do you know? (image attached)A. noB. yes; by AA ~C. yes; by SAS ~D. yes; by SSS ~

To find if the two triangles are similar, we will assume they are similar. If this leads to a contradiction, then the triangles are not similar.

First, if they are similar, the ratios between the corresponding sides of the triangles must be the same:

From the problem, we identify:

Then, the ratios are:

As we can see, they are not the same, so we conclude that the triangles are not similar.

  or  

sin y = 7/q

7 is the opposite side length, q is the hypotenuse

tan y = 7/r

7 is the opposite side length, r is the adjacent side length

using sohcahtoa ^^^^

cos y = adjacent/hypotenuse

cos y = r/q