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Alfredo Contreras
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Friday, May 6, 2011
A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9 degrees. Each of the sides of the lot that face these streets is 150 ft. long. Find the length of the third side, to the nearest foot.
the third side will be 204. the isosceles triangle has 2 sides that are the same that are 150.and where those two meet equals 85.9 degrees so then the third side u will use the law of cosines.that is a^2= b^2+c^2-2(b)(c)cosA. A=85.9 b=150 c=150 and just plug it in a^2= 150^2+150^2-2(150)(150)cos(85.9) a^2= 41782.6 or 41783 you will want to get rid of the squared to get 'a' by itself and to do that you will have to use the square root to bpth sides. then 'a' will equal 204
the third side will be 204.
ReplyDeletethe isosceles triangle has 2 sides that are the same that are 150.and where those two meet equals 85.9 degrees so then the third side u will use the law of cosines.that is
a^2= b^2+c^2-2(b)(c)cosA.
A=85.9 b=150 c=150 and just plug it in
a^2= 150^2+150^2-2(150)(150)cos(85.9)
a^2= 41782.6 or 41783
you will want to get rid of the squared to get 'a' by itself and to do that you will have to use the square root to bpth sides.
then 'a' will equal 204
Good job Karen, next time be careful with the spelling.
ReplyDelete