Question

In ΔABC, If a = √3 + 1 cm, ∠B = 30°, ∠C = 45°, then find c.

Answer 1

Answer:

The required answer is    "c = 2"

Step-by-step explanation:

Given that

In ΔABC, a = √3 + 1 cm, ∠B = 30°, ∠C = 45

∠A + ∠B + ∠C = 180°

∠A + 30° + 45° = 180°

∠A   = 180° - 75°

⇒ ∠A   =  105°

Now by Law of Sines, we have

c / sin C = a / sin A

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

c = [(√3 + 1)  / sin 105°] (sin 45°)

c = (√3 + 1)[ 2√2 /  (√3 + 1)] (1/√2)

c = 2

Answer 2

Answer:

C=2

Step-by-step explanation:

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