Which is an expression for the area of △ABC?

9514 1404 393

  (C)

Step-by-step explanation:

The law of sines tells you ...

  AB/sin(C) = AC/sin(B)

  AB = AC·sin(C)/sin(B)

The area of the triangle in terms of sides and angles is ...

  Area = (1/2)AB·AC·sin(A)

Using the above expression for AB and filling in values, we get ...

  Area = (1/2)AC·sin(C)/sin(B)·AC·sin(A)

  Area = 15·sin(67°)/(2·sin(65°))·15·sin(48°) . . . . . . matches choice C

option C is the answer

5+2x=a

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