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

Thus, option (D) is the correct solution.