Three 235

Three houses form a triangular shape. House A is 50 feet from house C and house B is 60 feet from house C. The measure is angle ABC is 80 degrees. Draw a picture and find the distance between A and B.

Correct answer:

c = ft N/A

Step-by-step explanation:

b=50 ft a=60 ft β=80   Δ  SSA b2=a2+c2 2ac cosβ k=cosβ=cos80° =0.173648=0.17365  b2=a2+c22 a c k  502=602+c22 60 c 0.17364817766693 c2+20.838c1100=0 c220.838c+1100=0  p=1;q=20.838;r=1100 D=q24pr=20.8382411100=3965.7868696585 D<0  c1,2=2pq±D=220.84±3965.79 c1,2=220.84±i3965.79 c1,2=10.418891±31.487247i c1=10.418891+31.48724690116i c2=10.41889131.48724690116i  c=N/A

Our quadratic equation calculator calculates it.




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







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

You need to know the following knowledge to solve this word math problem:


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

Related math problems and questions: