Question

Consider a triangle A B C like the one below. Suppose that B = 57°, C= 65°, and a = 48. (The figure is not drawn to scale.) Solve the triangle.

Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

Answer 1

A = 58 degrees

b = 51.9

c = 48.5

Explanation:

To find A we simply just need to remember that all triangles add up to 180 degrees and we are already given two angles of the triangle so....

`57 + 65=122`

`122+58=180`

`A=58`

To find sides b and c we use the law of sines since we now know the angle of each side.

`a=48`

`b=48*(sin65)/(sin57) =51.87`

`51.87`

`7>5`

`51.9`

`b=51.9`

`c=48*(sin58)/(sin57) =48.54`

`48.54`

`4<5`

`c=48.5`

Hope this helps.