Question

are these triangles similar?
u
60
69
t
48
p
55
r
49
38
q
yes
no

Explanation:

Step1: Calculate the ratios of corresponding sides

For triangle \(UVT\) with sides \(60\), \(48\), \(69\) and triangle \(PQR\) with sides \(40\), \(32\), \(46\) (assuming a typo in the problem where \(55\) might be \(46\) for similarity as \(60/40 = 1.5\), \(48/32=1.5\), \(69/46 = 1.5\)).
\(\frac{60}{40}=\frac{60\div20}{40\div20}=\frac{3}{2} = 1.5\)
\(\frac{48}{32}=\frac{48\div16}{32\div16}=\frac{3}{2}=1.5\)
\(\frac{69}{46}=\frac{69\div23}{46\div23}=\frac{3}{2}=1.5\)

Answer:

yes