SOLUTION: In triangle ABC, angle C is a right angle. Find the remaining sides and angles when a=8.1, b=6.2

Algebra ->  Triangles -> SOLUTION: In triangle ABC, angle C is a right angle. Find the remaining sides and angles when a=8.1, b=6.2      Log On


   

Question 1156778: In triangle ABC, angle C is a right angle. Find the remaining sides and angles when a=8.1, b=6.2
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Using your description of the triangle.
AC^2 + CB^2 = AB^2
(6.1)^2 + (8.1)^2 = AB^2
AB = square root of (6.1)^2 + (8.1)^2
AB = 10.2.
Use Trig Ratios
Sin B = Opposite/Hypotenuse
Sin B = 6.2/10.2
Sin B = 0.60784
Angle B = 37.4 degrees
Sin A = Opposite/Hypotenuse
Sin A = 8.1/10.2
Sin A = 0.7942
Angle A = 52.6 degrees
Hope this helps :-)