Question

Round to the nearest tenth.

B=110°
C= 30°
a=12
c=[ ? ]
Enter
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Answer 1

`c=9.3\ units`

Explanation:

step 1

Find the measure of angle A

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

`A+B+C=180^o`

substitute the given values

`A+110^o+30^o=180^o\\A=40^o`

step 2

Find the length side c

Applying the law of sines

`(a)/(sin(A))=(c)/(sin(C))`

substitute the given values

`(12)/(sin(40^o))=(c)/(sin(30^o))`

solve for c

`c=(12)/(sin(40^o))sin(30^o)`

`c=9.3\ units`