SOLUTION: solve triangle ABC using the diagram and the given measurements.... B=41 degrees, a=6.8 ..A ..|..\ .b|...\ c ..|.....\ ..|____\ ..C a B

Algebra ->  Trigonometry-basics -> SOLUTION: solve triangle ABC using the diagram and the given measurements.... B=41 degrees, a=6.8 ..A ..|..\ .b|...\ c ..|.....\ ..|____\ ..C a B      Log On


   

Question 30955This question is from textbook Algebra 2
: solve triangle ABC using the diagram and the given measurements....
B=41 degrees, a=6.8
..A
..|..\
.b|...\ c
..|.....\
..|____\
..C a B This question is from textbook Algebra 2

Found 2 solutions by ichudov, acerX:
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
The formulas are as follows:
b = a tan B
c+=+a%2Fcos%28B%29
Use your calculator to find out the cosine and tangent.

Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!
We can easily firgure out the measurement of each angle. Assumuing this is a right triangle that gives us angle C as 90.
We know that the angles in a triangle add up to 180.
41%2B90%2BA=180
131%2BA=180
A=49 this is the measurement of angle A
we can find the sides of the triangle by using the trig function tangent
tan%28B%29=%28b%2Fa%29
tan%2841%29=%28b%2F6.8%29
.8693=%28b%2F6.8%29
b=5.9
We can use the Pythagorean theorem to find the measurement of c
a%5E2%2Bb%5E2=c%5E2
6.8%5E2%2B5.9%5E2=c%5E2
46.24%2B34.81=c%5E2
81.05=c%5E2
sqrt%2881.05%29=c
c=9.00