Solve the Triangle $$\mathrm { a } = 8 , \mathrm {~b} = 6 , \mathrm { c } = 4$$

question 18

Multiple Choice

Solve the triangle. Find the angles  and  first.
- $$\mathrm { a } = 8 , \mathrm {~b} = 6 , \mathrm { c } = 4$$

• A) \(\alpha = 104.5 ^ { \circ } , \beta = 46.6 ^ { \circ } , \gamma = 28.9 ^ { \circ }\)
• B) \(\alpha = 104.5 ^ { \circ } , \beta = 28.9 ^ { \circ } , \gamma = 46.6 ^ { \circ }\)
• C) \(\alpha = 46.6 ^ { \circ } , \beta = 28.9 ^ { \circ } , \gamma = 104.5 ^ { \circ }\)
• D) \(\alpha = 46.6 ^ { \circ } , \beta = 104.5 ^ { \circ } , \gamma = 28.9 ^ { \circ }\)

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Definitions:

Consistent

A property of a set of statements that allows them all to be true at the same time without contradiction.

Contingency

A forthcoming incident or situation which may occur but its certainty cannot be ascertained.

Conditional Statement

A statement in logic that involves an if-then structure, asserting that if one thing is true, then another will follow.

Contradictory

Describing propositions, beliefs, or statements that are mutually opposed or inconsistent, such that if one is true, the other must be false.