To prove that the triangles are similar by the sss similarity theorem, it needs to be shown

ab = 25 and hg = 15
ab = 30 and hg = 18
ab = 35 and hg = 21
ab = 35 and hg = 15

we know that

The SSS similarity theorem states that if the ratios comparing the corresponding sides of two triangles are all equal, then the two triangles are similar.

So

in this problem

the corresponding sides are

AB and HG

BC and HI

AC and GI

Step

Find the value of side AB

Applying the Pythagorean Theorem

Step

Find the value of side HG

Applying the Pythagorean Theorem

Step

Compare the ratios of the corresponding sides

The ratios comparing the corresponding sides of two triangles are all equal, then the two triangles are similar

therefore

the answer is the option

idk man good luck man