Question

the triangle below is 45-45-90 determine the value of x and y your awsner must be in simplest radical form you cannot use sine cosine or tangent since those will give you decimal values

Answer 1

The diagram can be redrawn as,

The value of x and y can be determined as,

$\begin{gathered} \tan C=\frac{AB}{BC} \\ \tan 45^{\circ}=\frac{x}{7\sqrt[]{2}} \\ x=7\sqrt[]{2} \end{gathered}$$\begin{gathered} \cos C=\frac{BC}{AC} \\ \cos 45^{\circ}=\frac{7\sqrt[]{2}}{y} \\ y=14 \end{gathered}$

Thus, option (D) is the correct solution.