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the lengths of the tree sides of a triangle are denoted a,b, and c; the angles opposiete these sides are A,B,C. use the given information to find the required quantities.
a) B= 90 deg.; cotA=4/3; b=5 sqrt2; FIND a.
b) b=10 cm, c=10cm, A = 60 deg. FIND area of ABC TRIANGLE.
I can start if off but i dont know what to do next?
 one year ago
 one year ago
the lengths of the tree sides of a triangle are denoted a,b, and c; the angles opposiete these sides are A,B,C. use the given information to find the required quantities. a) B= 90 deg.; cotA=4/3; b=5 sqrt2; FIND a. b) b=10 cm, c=10cm, A = 60 deg. FIND area of ABC TRIANGLE. I can start if off but i dont know what to do next?
 one year ago
 one year ago

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lilsis76Best ResponseYou've already chosen the best response.0
dw:1355085335738:dw
 one year ago

Fall1213Best ResponseYou've already chosen the best response.1
Do you have a figure for this? If not, we can draw one.
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
well the picture i drew is all i have :/
 one year ago

Fall1213Best ResponseYou've already chosen the best response.1
the lengths of the tree sides of a triangle are denoted a,b, and c; the angles opposiete these sides are A,B,C. use the given information to find the required quantities. a) B= 90 deg.; cotA=4/3; b=5 sqrt2; FIND a. Take the figure; note that the sides are a, b, and c. The angles opposite to these are A, B, and C. This means (look at the figure). dw:1355085890124:dw
 one year ago

Fall1213Best ResponseYou've already chosen the best response.1
I think according to the trigonometric formula, a = 3 But the Pythagoras theorem isn't satisfied for this one.
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay then, so basically the cot is 1/ tan, or the tangent just opposite so instead of oppoiste over adj. its adj/ opposite? and that is how we got the a, right?
 one year ago

Fall1213Best ResponseYou've already chosen the best response.1
b) b=10 cm, c=10cm, A = 60 deg. FIND area of ABC TRIANGLE.dw:1355086191800:dw
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
so then, something like. okay so 18060 is 120, since b and c are equal u can divide by 2, so that means they are all 60 degrees right?
 one year ago

Fall1213Best ResponseYou've already chosen the best response.1
So the angles of triangle ABC would be 60 + x + x = 180 60 + 2x = 180 2x = 180  60 2x = 120 x = 120/2 = 60 So, angle B = angle C = 60 degrees. Triangle ABC is an equilateral triangle, so the area of an equilateral triangle is given by \[Area = \frac{ s ^{2}*\sqrt{3} }{ 4 } = \frac{ (10)^{2}*\sqrt{3} }{ 4 } = \frac{ 100\sqrt{3} }{ 4 }\]
 one year ago

Fall1213Best ResponseYou've already chosen the best response.1
If you want, take the decimal value for square root of 3 is 1.73. The final answer will then be something around 43.25 square units.
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
wait, how did we get the 5 squared?
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
@Fall1213 where did the
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
@Fall1213 where did the \[5^{2}\] come from?
 one year ago

Fall1213Best ResponseYou've already chosen the best response.1
You mean the 'square units'?
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
oh haha i see it its an s for the sides okay
 one year ago
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