Question

Solve for the side or angle indicated with variable x in each triangle.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

d. triangle:

side = 16.8 cm

angle 1 = 76°

angle 2 = 38°

Step 02:

geometry:

triangle:

sine rule:

`\frac{a}{sin\text{ A}}=\frac{b}{sin\text{ B}}=\frac{c}{sin\text{ C}}`
`\frac{x}{sin\text{ 38}\degree}=\frac{16.8\text{ cm}}{sin\text{ 76}\degree}`
`\begin{gathered} \\ x\text{ = }\frac{16.8\text{ cm * sin 38}\degree}{sin\text{ 76}\degree} \end{gathered}`

x = 10.66 cm

The answer is:

x = 10.66 cm