Question

Finding the missing sides of the triangle. Leave your answers as simplified radicals

Answer 1

Step-by-step explanation

Given the triangle

Since two of the angles are 45 and 45, this makes the third angle as 90 degrees, implying the triangle is a right-angle triangle.

We can then find the value of the missing sides below.

Using the angle 45 degrees on the left of the triangle, we will have that;

`\begin{gathered} tan45=(opposite)/(adjacent)=(11)/(x) \\ xtan45=11 \\ x=(11)/(tan45) \\ x=11 \end{gathered}`

Answer: x =11

Also

`\begin{gathered} sin45=(opposite)/(Hypotenuse)=(11)/(y) \\ ysin45=11 \\ y=(11)/(sin45) \\ y=11/(1)/(√(2)) \\ y=11√(2) \end{gathered}`

Answer:

`y=11√(2)`