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 45 degrees. Draw a picture and find the distance between A and B.

Final Answer:

c1 =  68.8839 ft
c2 =  15.9689 ft

Step-by-step explanation:

b=50 ft a=60 ft β=45   Δ  SSA b2=a2+c2 2ac cosβ k=cosβ=cos45° =0.707107=0.70711  b2=a2+c22 a c k  502=602+c22 60 c 0.70710678118655 c2+84.853c1100=0 c284.853c+1100=0  p=1;q=84.853;r=1100 D=q24pr=84.8532411100=2800 D>0  c1,2=2pq±D=284.85±2800 c1,2=42.426407±26.457513 c1=68.883919982=68.8839 ft c2=15.968893761

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 are 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:

algebraplanimetricsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: