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GREYUIT [131]
2 years ago
14

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.) Solv

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

Mathematics
1 answer:
Komok [63]2 years ago
5 0

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

c=48.5

Hope this helps.

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