Question

PLZ HELPP FAST Solve the triangle. A=44 degrees, a = 7,b=8

Answer 1

Answer: the sides are a = 7, b = 8, c = 10.

Explanation:

1) Use the law of sines:

  sin(A)         sin(B)
----------- =   --------- =>
     a                 b
 
2) Solve for B:

sin(B) = b * sin(A) / a = 8 * sin(44°) / 7 = 0.79389528

=> B = arcsin(0.79389528) = 52.55°

3) A + B + C = 180° => C = 180° - A - B = 180° - 44° - 52.55° = 83.45°

4) Use the law of sines again:

   sin(A)          sin(C)
------------- = -------------
      a                  c

5) Solve for c:

c = sin(C) * a / sin(A) = sin(83.45°) * 7 / sin(44°) = 10.0

Answer: a = 7, b = 8, c = 10.