Find the Missing Parts of the Triangle $$\begin{array} { l } B = 15.6 ^ { \circ } \\b = 16.58 \\a = 30.83\end{array}$$

question 49

Multiple Choice

Find the missing parts of the triangle.
- $$\begin{array} { l } B = 15.6 ^ { \circ } \\b = 16.58 \\a = 30.83\end{array}$$
If necessary, round angles to the nearest tenth and side lengths to the nearest hundredth.

• A) \(\mathrm { A } _ { 1 } = 30 ^ { \circ } , \mathrm { C } _ { 1 } = 134.4 ^ { \circ } , \mathrm { c } _ { 1 } = 44.05\);
• B) \(\mathrm { A } = 150 ^ { \circ } , \mathrm { C } = 14.4 ^ { \circ } , \mathrm { c } = 15.33\)
• \[\mathrm { A } _ { 2 } = 150 ^ { \circ } , \mathrm { C } _ { 2 } = 14.4 ^ { \circ } , \mathrm { c } _ { 2 } = 15.33\]
• C) \(\mathrm { A } = 30 ^ { \circ } , \mathrm { C } = 134.4 ^ { \circ } , \mathrm { c } = 44.05\)
• D) no such triangle

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Definitions:

Symmetric Distribution

A distribution where the left and right sides of the distribution are mirror images of each other.

Median

The middle value of a dataset, which divides the dataset into two halves when the numbers are arranged in ascending order.

1st Quartile

The 1st quartile, also known as the lower quartile, is a statistical measure that divides the lowest 25% of data in a dataset from the highest 75%.

3rd Quartile

The value below which 75% of the data in a dataset falls, marking the upper quartile in a distribution of values.