Question

are these scalene triangles similar? yes no

Explanation:

Step1: Check the ratio of corresponding sides

For triangle \(FGE\) and \(TUV\), assume the sides \(FE = 48\), \(GE=38\) and \(TV = 48\), \(TU = 91\). The ratio of \(FE\) to \(TV\) is \(\frac{48}{48}=1\), and the ratio of \(GE\) to \(TU\) is \(\frac{38}{91}
eq1\).

Step2: Use the similarity criterion

For two triangles to be similar by SAS (Side - Angle - Side) similarity criterion, the ratio of two pairs of corresponding sides should be equal and the included angles should be equal. Here, even if we assume the angles \(\angle E\) and \(\angle T\) (the non - marked angles are not relevant for SAS in this case as we don't have information about other angles matching in a way to support similarity) but the ratio of sides \(GE:TU
eq FE:TV\)

Answer:

no