Question

are these shapes similar? no yes

Explanation:

Step1: Check the ratio of corresponding sides

For triangle \(HIJ\) and \(TSU\), assume the correspondence \(H - T\), \(I - S\), \(J - U\)
The ratios are \(\frac{HI}{TS}=\frac{30}{25}=\frac{6}{5}\), \(\frac{IJ}{SU}=\frac{27}{45}=\frac{3}{5}\), \(\frac{JH}{UT}=\frac{15}{50}=\frac{3}{10}\)
Since \(\frac{6}{5}
eq\frac{3}{5}
eq\frac{3}{10}\)

Answer:

no