Question

A= B= b= what’s the answer i been trying to solve all day

Answer 1

Explanation:

We are given the triangle ABC and told to find ∠A, ∠B, and side b. Also we are told that side c= 54 . side a=64 and ∠C = 32°

we need law of sines a / sin A = b / sin B = c / sin C

let's use law of sines to find the other angles

64 / sin A = 54 / sin(32)

I'm just going to swap the fractions on both sides , just to make it easier

sin A / 64 = sin(32) / 54

∠A = arcSin(64 * sin(32) / 54)

∠A = 38.9066°

∠B + ∠A + ∠C = 180

∠B = 180 - 32 - 38.9066

∠B = 109.0934°

let's find side b now

sin B / b = sin(32) / 54

sin(109.0934°) / b = sin(32) / 54

54 * sin(109.0934°) / sin(32) = b

96.2963 = b