Question

Please help giving brainlist

Answer 1

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

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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.

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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.