Solve the triangle. Round side measure to the nearest tenth and angle measures to the nearest degree.

Accepted Solution

First calculate the missing angle [tex]\alpha[/tex]. By knowing all angles in triangle have a sum of 180°.


Now we required to use angle functions in a right triangle. The cosine of [tex]\beta[/tex] is equal to the relation of side [tex]a[/tex] and hypotenuse [tex]c[/tex].

Now we solve this for hypotenuse.



Now put in the numbers.


So we know the length of hypotenuse and length of side [tex]a[/tex] therefore side [tex]b[/tex] can be calculated using Pythagorean theorem: [tex]c^2=a^2+b^2[/tex].

Solve for side [tex]b[/tex].




So there you go. If you have any questions feel free to ask.