Question

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

A=21.2 C=53.4 c=2.46

Answer 1

• a = 1.11
• B = 105.4°
• c = 2.95

Explanation:

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

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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