The given triangle with the angle of 60 and a side of 6ft has another length EF is 7.48 ft.
When finding the third side of a scalene triangle, use Law of Cosine with its formula
What is the low of the cosine formula?
[tex]c^2 = A^2+B^2 - 2AB(cosC)[/tex]
Now, you just have to input all your data in the formula,
[tex]c^2 = 6^2+11^2 - 2(6)(11)(cos40^0)\\c^2 = 36+121 - 2(6)(11)(cos40^0)\\c^2 = 36+121 - 2(6)(11)(0.77)\\c^2 = 157 - 101.12\\c^2 = 55.88[/tex]
c = square root of 55.88
c = 7.48 ft
The given triangle with the angle of 60 and a side of 6ft has another length EF is 7.48 ft.
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