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OpenStudy (anonymous):
OpenStudy (anonymous):
what's the question?
OpenStudy (anonymous):
wait can you see the picture?
OpenStudy (anonymous):
yes... it's a right triangle (30-60-90)
OpenStudy (anonymous):
The question is to calculate the area
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OpenStudy (anonymous):
Sorry i thought it was in the picture
OpenStudy (anonymous):
do you know the area for a triangle?
OpenStudy (anonymous):
is it b*h?
OpenStudy (anonymous):
1/2*B*H?
OpenStudy (anonymous):
yep... that second one..
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OpenStudy (anonymous):
so we already have 11 as the base correct? now we need the length of RS, which will be your height.
OpenStudy (anonymous):
but i dont know the height...
OpenStudy (anonymous):
yes...
OpenStudy (anonymous):
did you need to use trig or some specific method? because there are many different ways to do this.
OpenStudy (anonymous):
No any method...
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OpenStudy (anonymous):
ok... we'll use trig.. that should be the easiest...
notice that the hypotenuse of the triangle is 22.. do you know why?
OpenStudy (anonymous):
no...
OpenStudy (anonymous):
11*2?
OpenStudy (anonymous):
as i mentioned before, this is a 30-60-90 triangle.... it has SPECIAL properties... one is that the shortest side is always HALF of the hypothenuse.. yes, you're correct 11*2..
OpenStudy (anonymous):
right right...
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OpenStudy (anonymous):
since the hypotenuse is 22, we can use trig to find RS:
\(\huge cos(30)=\frac{RS}{22} \)
solve this equation to find RS, your height. then plug that answer into the area formula.
OpenStudy (anonymous):
RS=11?
OpenStudy (anonymous):
no.... what's cos(30 degrees) ???
OpenStudy (anonymous):
?
OpenStudy (anonymous):
.86?
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OpenStudy (anonymous):
cosine of 30 degrees is \(\large \frac{\sqrt3}{2} \approx .86 \)
yes, you're right....
OpenStudy (anonymous):
okay...
OpenStudy (anonymous):
so now...
OpenStudy (anonymous):
so what u got for RS?
OpenStudy (anonymous):
im sorry im lost....
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OpenStudy (anonymous):
\(\large cos(30)=\frac{RS}{22} \implies 22*cos(30)=RS \)
use your calculator to find RS.
OpenStudy (anonymous):
.039?
OpenStudy (anonymous):
no...
cos(30) = .86 so
RS = 22*0.86 = ???
OpenStudy (anonymous):
18.92
OpenStudy (anonymous):
@Hero can you help please???
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OpenStudy (anonymous):
ok.. that's RS, your height..
now plug that into your area formula for the trangle and you're done...