Draw this and solve it. 5. Angle A= 25 and b= 27.15 and c= 29.96

Answer 1

To solve this triangle, we can use the Law of Sines.

The Law of Sines states that for any triangle with sides a, b, c and angles A, B, C, the following relationship holds:

a/sinA = b/sinB = c/sinC

Given that Angle A = 25, side a = 27.15, and side b = 29.96, we can set up the following equation:

27.15/sin25 = 29.96/sinB

Now we can solve for angle B:

sinB = (29.96 * sin25) / 27.15
sinB = (29.96 * 0.4226) / 27.15
sinB = 12.6517 / 27.15
sinB ≈ 0.4662
B ≈ arcsin(0.4662)
B ≈ 28.34 degrees

Now that we have angle B, we can find angle C by using the fact that the sum of the angles in a triangle is 180 degrees:

C = 180 - A - B
C = 180 - 25 - 28.34
C = 126.66 degrees

Therefore, the solution for this triangle is:
Angle A = 25 degrees
Angle B = 28.34 degrees
Angle C = 126.66 degrees
Side a = 27.15
Side b = 29.96