Question

Write an equation that could be used to find the value of b.

Answer 1

b^2=(a^2)+(c^2)-2acCosB
b^2=4+9-(2*3*2)(Cos38)

Answer 2

b = 1.88 units

Explanation:

From the law of cosine

b² = a² + c² - 2ac cos B

Now we plug in the values of a = 2, c = 3 and ∠8 = 38°

b² = 2² + 3² - 2 × 2 × 3 cos 38°

b² = 4 + 9 - 12 (0.78801)

= 13 - 9.456

= 3.5438

b =
`√(3.5438)`

= 1.88 units

Therefore, b = 1.88 units