2 years ago

Help Plz !!!

Mathematics

1 answer:

coldgirl [10]2 years ago

7 0

The answer is A i think

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Triangle A B C is shown. Angle A B C is 95 degrees and angle B C A is 45 degrees. The length of A B is c and the length of B C i

NARA [144]

Answer:

(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction

$c=\dfrac{3 * \sin 45}{sin 40}$

Step-by-step explanation:

In Triangle ABC is shown.

$\angle A B C=$ 95 degrees

$\angle B C A =$ 45 degrees.

|AB|=c

|BC|=3.0 cm

$\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ$

Using the Law of Sines

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

$\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}$

The correct option is B.

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Step-by-step explanation:

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Len [333]

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