SOLUTION: solve triangle ABC given: angle A is 69 degrees, side b is 34, and side c is 46

Question 480806: solve triangle ABC
given: angle A is 69 degrees, side b is 34, and side c is 46
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
solve triangle ABC
given: angle A is 69 degrees, side b is 34, and side c is 46
=========================================================
We can first solve for a using the law of cosines:
a^2 = b^2 + c^2 - 2bc*cos(A)
a^2 = 34^2 + 46^2 - 2*34*46*cos(69)
This gives a = 46.379
Now we can use the law of sines to solve for the other two angles:
sin(69)/46.379 = sin(B)/34
Solving for B gives B = 43.188
Since the sum of the 3 angles is 180 deg, the angle C is:
C = 180 - 69 - 43.188 = 67.812

RELATED QUESTIONS
For a given right triangle, angle B= 46 degrees and side c= 30 feet. What is the measure (answered by ewatrrr)

For a given right triangle, Angle B = 46 degrees, side c = 30. What is the length of side (answered by josgarithmetic)

2. In addition to the information given in the figures, which fact(s) could allow you to... (answered by richwmiller)

Given a right triangle what are the measurements of side a, side b, and angle B of a... (answered by scott8148)

In Triangle ABC, if angle A=60 degrees and angle B is greater than angle C, then the... (answered by tommyt3rd)

Given: side b = 600, angle B = 11 degrees, angle C = 75degrees in triangle ABC; find side (answered by Alan3354,Earlsdon)

In triangle ABC angle m < A is 45 degrees, angle m < B=30 degrees, and side a=10. What... (answered by josgarithmetic,math_tutor2020)

In triangle ABC, angle A=34 degrees, angle B=78 degrees, what is the measure of angle... (answered by richwmiller,checkley77)

find the measure of angle c in triangle abc to the nearest degree if angle a is 38... (answered by MathLover1)