blandcampnatalie blandcampnatalie

06-07-2018
Mathematics

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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

Respuesta :

sqdancefan sqdancefan

07-07-2018

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°

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