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

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°