Question

Find c.Write your answer in simplest radical form. ___ millimeters

Answer 1

Step 1 :

In this question, we are meant to find the length of the missing side, c.

From the basic knowledge of Trignometry, we have that :

`\begin{gathered} \sin 45^0\text{ = }\frac{c}{3\sqrt[]{2}} \\ \text{But sin 45}^0\text{ =}\frac{1}{\sqrt[]{2}} \\ \text{Then, we have that:} \\ \frac{1}{\sqrt[]{2}\text{ }}\text{ =}\frac{c}{3\sqrt[]{2}} \\ \end{gathered}`
`\begin{gathered} 1\text{ = }(c)/(3) \\ c\text{ = 1 x 3 } \\ \text{c = 3 mm} \end{gathered}`

CONCLUSION:

The value of c in simple radical form = 3 mm.