How are the proofs for the side length ratios of 30-60-90 and 45-45-90 triangles similar? how are they different?

The two triangles are not similar

Step-by-step explanation:

Given side length ratios of 30-60-90 and 45-45-90 triangles. we have to tell are these two triangles similar.

To prove the two triangles similar either the angles are similar or the sides are in same proportion.

In ΔABC, the sides are in ratio and

In ΔPQR, the sides are in ratio

Hence, the sides

The sides are not in same proportion.

⇒ No similarity rule apply

Hence, These two triangles are not similar

answer:

c. the third graph