Question

Are the two triangles similar? If so, how do you know? Figure is below

Answer 1

If all three sides are in the same ratio with the other triangle's sides, then it is similar.

Answer 2

i.e.:\[\frac{12}{8}=\frac{7.5}{5}\]

Answer 3

What theorem or postulate you think it would be?

Answer 4

The one that says 'If all of triangle A's sides are in the same proportion to each of the matching sides of triangle B, A and B are similar'
You could probably derive that from more fundamental principals.

Answer 5

Did you see the figure above?

Answer 6

Yes. 0M=1.5CA, ON=1.5CB, and MN=1.5AB

Answer 7

Ah i see so if the triangle has to be proportionate to the other one they have to be equal on all sides?

Answer 8

Yes, as therefore all the angles are forced into being the same.

Answer 9

Ah never mind I get it

Answer 10

So would you say it is SSS since its measured by its sides?

Answer 11

Yes.

Answer 12

Thank you so much