Question

Is it possible to determine if two triangles are similar if I only know one angle and one side?

Answer 1

I think it is not.

Answer 2

Thank you goformit100 for the warm welcome. I have read and will abide by the code of conduct.

I have been trying to determine the above question by using SSS SAS and AAA or a combination of the two. But all I have to go on are one angle and one side and I wanted to make sure I wasn't missing a step.

Answer 3

Are you sure that the given are just one angle and one side? Isn't it that the one angle their is right so it isn't mentioned how many degrees is was because it was denoted by perpendicular sign?

Answer 4

Hang on I'll get a pic.,,,

Answer 5

Sure.

Answer 6

So I see there are 2 angles at 65 degrees. Line segment AB is equal To Line segment BC and therefore line segment AC is 2 times AB or BC.

It's just that when I rotate them I the sides don't match up when the angles share the same vertex so I can't seem to come up with the answer. I'm confused.

Answer 7

no

Answer 8

Ok I think no is correct, but is it simply because I don't have enough information, or is there a way to show they are not similar?

Answer 9

You should ask yourself if there is an SA similarity property because you asked if you could prove triangles similar knowing only 1 side and 1 angle.

Answer 10

They are similar. Note that triangle CDE is within triangle CAE. Therefore, we can say that <C = <C even without value, it is proven that they are equal right? Therefore, <A = <D. You got it?

Answer 11

OMG I didn't even think about angle C! What the heck? That makes sense, so does it matter that the line segments are the same or was that just to throw me off the trail?

Answer 12

Similar triangles are defined as triangles that are equiangular and with side having a common ratio.

Answer 13

Thank you Yttrium. Light bulb definitely went on in my brain. This was the last question on my review sheet, I think I'm ready for the quiz now.

Answer 14

You're welcome. :D One tip more: practice. That will make you better not only in math.

Answer 15

I agree. And thanks again for the help.