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QUESTION IMAGE

select the reason why these triangles are similar. if they are not, sel…

Question

select the reason why these triangles are similar. if they are not, select
ot similar.\
8 12 5 7
10 6.25
not similar
aa
sas
sss

Explanation:

Step1: Identify side lengths

Yellow triangle sides: \(8\), \(10\), \(12\)
Orange triangle sides: \(5\), \(6.25\), \(7\)

Step2: Check SSS similarity (ratios)

Calculate ratios of corresponding sides:
\(\frac{8}{5} = 1.6\), \(\frac{10}{6.25} = 1.6\), \(\frac{12}{7} \approx 1.714\)

Ratios are not equal (\(1.6
eq 1.714\)), so SSS fails.
Check SAS: Need two sides and included angle, but angles unknown.
Check AA: No angle info.

Since ratios aren’t consistent, triangles aren’t similar.

Answer:

Not similar