To prove that the two triangles are similar, we can use the SAS~ (Side-Angle-Side) theorem.
In this case, we can see that the two triangles have two pairs of corresponding sides that are proportional:
8/12 = 8/12
3/4.5 = 3/4.5
Additionally, they share a common angle, which is the right angle formed by the sides of length 8 and 3 in Triangle 1 and the sides of length 12 and 4.5 in Triangle 2.
Therefore, we can conclude that the two triangles are similar by the SAS~ theorem.
5. Can you prove the two triangles similar? If so, which postulate or theorem would you use to prove they are similar?
Triangle 1 has sides 8, 8, and 3
Triangle 2 has sides 12, 12, and 4.5
Yes, they are similar by SAS~
Yes, they are similar by SSS~
Yes, they are similar by AA~
No, there is not enough information to prove that they are similar.
1 answer