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bagirrra123 [75]
3 years ago
11

ABC is an obtuse triangle. Given that CB = 20, the measure of A = 30°, and the measure of B = 45°, which of the expressions list

ed would be used to find how long CA is? (Note: For ABC, where a, b, and c are the lengths of the sides opposite A, B, and C, respectively, SinA/a=SinB/b=SinC/c.)
1. 45sin20/sin30
2. 20sin30/sin45
3. 20sin45/sin30
4. sin45/20sin30

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

option 3

Step-by-step explanation:

Using the Sine rule in Δ ABC, that is

\frac{a}{sinA} = \frac{b}{sinB}, that is

\frac{20}{sin30} = \frac{CA}{sin45} ( cross- multiply )

CA × sin30° = 20 × sin45° ( divide both sides by sin30° )

CA = \frac{20sin45}{sin30} → (3)

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