Rectangle 49153

Rectangle ABCD, whose | AB | = 5cm, | AC | = 8 cm, ∢ | CAB | = 30 °. How long is the other party, and what is its area?

Correct answer:

b =  4 cm
S =  20 cm2

Step-by-step explanation:

a=5 cm u=8 cm φ=30   sin φ = b:u b=u sinφ=u sin30° =8 sin30° =8 0.5=4=4 cm   Verifying Solution:   b2=u2a2=8252=39 cm6.245 cm b2=b  CAB=π180°arcsin(b/u)=π180°arcsin(4/8)=30 
S=a b=5 4=20 cm2



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: