. In triangle ABC, AB = 14, AC = 22 and angle A measures 43 degrees. Calculate the area of triangle ABC, correct to the nearest whole unit, and find the length of side BC, correct to the nearest tenth.
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OpenStudy (anonymous):
i need help with this question plese
OpenStudy (anonymous):
area is
\[\frac{1}{2}14\times 22\times \sin(43)\]
OpenStudy (anonymous):
thanks but can u plese show work thanks
OpenStudy (anonymous):
the work is from the formula that says area of a triangle is one half base times height.
OpenStudy (anonymous):
|dw:1337650263653:dw|
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OpenStudy (anonymous):
thanks sooo much the drawing makes it soo much esaier to understand
OpenStudy (anonymous):
since
\[\sin(43)=\frac{h}{14}\] we know
\[h=14\times \sin(43)\] and so
\[\frac{1}{2}bh =\frac{1}{2}22\times 14\times \sin(43)\]
OpenStudy (anonymous):
for the second part of the question you need the law of cosines