Given triangle DOG, where angle D=64 degrees, angle O= 38 degrees, length of DO = 8 inches. I need to solve the problem completely and find the area of triangle DOG. Any help ?
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OpenStudy (anonymous):
Sorryi was terrbile in geometry.
OpenStudy (anonymous):
|dw:1315524789596:dw|
OpenStudy (anonymous):
G you find first because angles have to add up to 180
OpenStudy (anonymous):
So G would be 78?
OpenStudy (anonymous):
D=64
O=38
G= 78
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OpenStudy (anonymous):
Then I have to use sine right ?
OpenStudy (anonymous):
you find the other sides via law of sines
OpenStudy (anonymous):
right
OpenStudy (anonymous):
but to find the other sides, would that be one expression or two? Can I find each side separately versus finding them at the same time?
OpenStudy (anonymous):
so for example
\[\frac{8}{\sin(78)}=\frac{d}{\sin(64)}\] and threfore
\[d=\frac{8\sin(64)}{\sin(78)}\]
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OpenStudy (anonymous):
where d is side opposite D
you find them one at a time
OpenStudy (anonymous):
now a calculator
OpenStudy (anonymous):
i get 7.35
OpenStudy (anonymous):
now you find o same method.
OpenStudy (anonymous):
okay i got that. what about the other side?
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OpenStudy (anonymous):
i think i know what you mean....let me try it.
OpenStudy (anonymous):
same method. what i would call o and you could call DG use law of sines again. gotta run but i bet you can get it. same as before