Solve the Triangle $$\mathrm { A } = 19 ^ { \circ } , \mathrm { C } = 105 ^ { \circ } , \mathrm { c } = 6$$

question 134

Multiple Choice

Solve the triangle.
- $$\mathrm { A } = 19 ^ { \circ } , \mathrm { C } = 105 ^ { \circ } , \mathrm { c } = 6$$

• A) \(B = 34 ^ { \circ } , \mathrm { a } \approx 17.8 , \mathrm {~b} \approx 15.3\)
• B) \(\mathrm { B } = 56 ^ { \circ } , \mathrm { a } \approx 17.8 , \mathrm {~b} \approx 15.3\)
• C) \(B = 56 ^ { \circ } , \mathrm { a } \approx 2 , \mathrm {~b} \approx 5.1\)
• D) \(B = 56 ^ { \circ } , a \approx 17.8 , b \approx 5.1\)

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Definitions:

Ellipse

A geometric shape that looks like a flattened circle, described by an equation in x and y.

Vertices

Vertices refer to the corners or points where two or more edges, lines, or sides meet in geometric shapes or graphs.

Co-vertices

In an ellipse, co-vertices are the endpoints of the minor axis, perpendicular to the major axis.

Standard Form

For equations, this refers to a method of writing quadratic equations as Ax^2 + Bx + C = 0, where A, B, and C are coefficients and A is not zero, ensuring a uniform structure for easier analysis.