[tex]\begin{gathered} \cos (\theta)=\frac{33}{54} \\ \\ \theta=\cos ^{-1}(\frac{33}{54}) \\ \\ \theta=\text{ 52.33} \\ \text{The base angle is 52.33\degree} \\ \\ \text{when there are two sides with the same lenght in second type of triangle isosceles} \\ \text{hypotenuse =}\sqrt[]{2}\cdot54 \\ \text{hypotenuse =76.4} \\ \text{76.4}\ne\text{ 66 that is the why the triangles is not the second type} \\ \\ \cos \theta=\frac{\text{adjac}ent}{hypotenuse} \\ \\ \theta=\cos ^{-1}(\frac{\text{adjac}ent}{hypotenuse}) \end{gathered}[/tex]