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

Answer:

A = 58 degrees

b = 51.9

c = 48.5

Step-by-step 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.

$a=48$

$b=48\times\frac{sin65}{sin57} =51.87$

$51.87$

$7>5$

$51.9$

$b=51.9$

$c=48\times\frac{sin58}{sin57} =48.54$

$48.54$

$4<5$

$c=48.5$

Hope this helps.