3 years ago

Pleaseeee help me....Use the Law of Sines to solve the triangle. Round your answers to two decimal places.

Mathematics

1 answer:

alexira [117]3 years ago

7 0

Answer:

a = 1.11
B = 105.4°
c = 2.95

Step-by-step explanation:

B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°

The missing side lengths can be found from the Law of Sines:

a/sin(A) = c/sin(C)

a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11

Likewise, ...

b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95

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