Question

In triangle ABC, angle C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. Show your work.
a=3, c=19

Answer 1

The Pythagorean theorem can tell you the length of "b".
  c² = a² + b²
  b² = 19² -3² = 360
  b = 6√10 ≈ 18.8

Sin = Opposite/Hypotenuse
sin(A) = a/c = 3/19
A = arcsin(3/19) ≈ 9.1°
B = 90° - A = 80.9°

The remaining sides and angles are ...
  b = 18.8
  A = 9.1°
  B = 80.9°