What is the discriminant of the quadratic equation 3x2 – 3x + 1 = 0?
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Answer:
10.3
Step-by-step explanation:
The triangle can be solved from one side and two angles by using the angle sum theorem to find the third angle, then using the Law of Sines to find the remaining sides.
The angle at T is ...
180° - 119° -36° = 25°
The law of sines tells us side s will be ...
s/sin(S) = t/sin(T)
s = sin(119°)×5/sin(25°) . . . . multiply by sin(S)
s ≈ 10.34763
s ≈ 10.3
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<em>Additional comment</em>
u/sinU = t/sin(T)
u = sin(36°)×5/sin(25°) ≈ 6.95409
