QUESTION IMAGE
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
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.
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Not similar