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schepotkina [342]
3 years ago
14

Find the lengths of the remaining sides of the triangle. a = 18 a is 60 degrees b is 30 degrees b = c =

Mathematics
1 answer:
Ber [7]3 years ago
4 0

Answer:

b= 10.39

c = 20.79

Step-by-step explanation:

a = 60 °

b = 30°

c= 180-(60+30)

c = 180-(90)

c = 90°

Length facing angle a = 18

Let's look for length facing angle b

b/sinb = a/sin a

b/sin 30 = 18/sin 60

b =( 18 * sin30)/sin 60

b = (18*0.5)/0.8660

b = 9/0.8660

b= 10.39

Let's look for c

c/sin c = a/sin a

c/sin 90 = 18/sin 60

c = (18 * sin 90)/sin 60

c =18/0.8660

c = 20.79

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