Question

a triangle is shown what is the length in inches of side a angle a is 30 angle b is 60 and side c is 44in show your work

Answer 1

[AI-generated answer — Bot GPT 3.5]

In a triangle, the sum of all angles is always 180 degrees. Therefore, angle c can be calculated as 180 - 30 - 60 = 90 degrees.

To find the length of side a, we can use the law of sines, which states that for any triangle ABC:

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

Substitute the values from the given information into the equation:

a/sin(30) = 44/sin(90)

a/sin(30) = 44/1

a = 44 * (sin(30))

a ≈ 44 * 0.5

a ≈ 22 inches

Therefore, the length of side a is approximately 22 inches.