At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C, to the number of gallons of ga
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It would be easier to explain if the vertices were labeled.
Let's call the horizontal diagonal of the kite c.
The area of the triangle with sides triangle is given by
c itself is given by the Law of Cosines:
At this point I'd use a variation on Heron's formula to calculate the area. But the question says to use the sine and cosine rules so we'll do it that way.
The opposite angle, call it D, is given by the law of Cosines. We need its sine so we don't actually have to calculate the angle:
Now the other triangle has area
So we get a total area of