Are the following triangles similar? Justify your answer.

Question

anonymous · Answer

attachment

anonymous · Answer

You know that they are both right-angle triangles as indicated by the little box, right?

anonymous · Answer

So right off the bat we know that one of their angles is the same.

anonymous · Answer

@KinzaN yeah

anonymous · Answer

But they also share another angle!  Do you see it?  
If two of their angles can be proven to be equal, then the triangles are similar.

To further explain this,
the angles of all triangles must add to 180 degrees.

If we call the acute angle they share "X" then
for triangle 1:                                   for triangle 2:
180 = 90 + X +Y                            180 = 90 + X + Z

If we solve for Y and Z we will see that they are equal
and therefore these triangles are similar triangles.

anonymous · Answer

@KinzaN oh okay! thanks so much

anonymous · Answer

You're welcome.