Question

are these triangles similar?

Explanation:

Step1: Calculate the ratios of corresponding sides

For triangle \(HFG\) and \(SRQ\), assume \(HF = 42\), \(FG=30\), \(GH = 48\) and \(SR = 63\), \(RQ = 72\), \(QS=45\)
The ratio of \(HF\) to \(QS\) is \(\frac{42}{45}=\frac{14}{15}\)
The ratio of \(FG\) to \(SR\) is \(\frac{30}{63}=\frac{10}{21}\)
The ratio of \(GH\) to \(RQ\) is \(\frac{48}{72}=\frac{2}{3}\)

Step2: Check if ratios are equal

Since \(\frac{14}{15}
eq\frac{10}{21}
eq\frac{2}{3}\), the sides are not in proportion.

Answer:

no