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Mathematics 17 Online
OpenStudy (anonymous):

Help?

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

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..

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...

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...

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?

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....

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???

OpenStudy (anonymous):

ok.. that's RS, your height.. now plug that into your area formula for the trangle and you're done...

OpenStudy (anonymous):

thanks soo much!:)

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