Question

What is the length of the hypotenuse in the right triangle shown below?4545°A. 6,2OB. 6O C. 3,2OD. 126

Answer 1

Step-by-step explanation

We are asked to get the length of the hypotenuse of the right triangle

To find the answer, we will make use of the trigonometric ratio

`\begin{gathered} sin45=(opposite)/(hypotenuse)=(6)/(x) \\ \\ where \\ x=hypotenuse \end{gathered}`

If we cross multiply

`\begin{gathered} x=(6)/(sin45) \\ \\ x=(6)/((1)/(√(2))) \\ \\ x=6√(2) \\ \end{gathered}`

Thus, the answer is