Answer:
the SSS similarity theorem
Step-by-step explanation:
⇒ It cannot be the SAA similarity theorem as they only share a single common angle
⇒ It cannot be the HL similarity theorem, as the sides are not equal
⇒ It must be the SSS triangles
===========================================================
What is the SSS similarity theorem?
It states that :
If the lengths of the corresponding sides of two triangles are proportional, then the two triangles are similar.
============================================================
Let's take the sides in proportion :
⇒ 15/5 = 3 (Hypotenuses)
⇒ 6+3/3 = 9/3 = 3 (Heights)
⇒ 8+4/4 = 12/4 = 3 (Bases)
As the sides are in proportion, the triangles are similar by the SSS similarity theorem.
