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Mathematics 10 Online
OpenStudy (tylermckinney16):

help me please.

OpenStudy (tylermckinney16):

questions here.

OpenStudy (tylermckinney16):

@Directrix

OpenStudy (kittiwitti1):

Well, this is a right triangle, so you can apply Pythagoras' Theorem (or, the Pythagorean Theorem as it's more commonly spelt).\[\text{Pythagoras' Theorem}\rightarrow a^{2}+b^{2}=c^{2}\]From what I can see you have b and c, which are 10 and 18, respectively... So, inputting it into the formulaic equation:\[a^{2}+10^{2}=18^{2}\]Isolating the a would help you get the value for that leg. I'll start you off:\[a^{2}+10^{2}=18^{2}\rightarrow a^{2}+100=324\]\[ a^{2}+100-100=324-100...\rightarrow a^{2}=224...\]So what's a equal? • v •)/

OpenStudy (tylermckinney16):

14.97?

OpenStudy (kittiwitti1):

|dw:1457083139726:dw|

OpenStudy (tylermckinney16):

14.97???

OpenStudy (kittiwitti1):

Well, if they let you give rounded decimals. If not, just keep the square root of 224...\[x=\sqrt{224},\text{ or }x\approx 14.9\]

OpenStudy (kittiwitti1):

Actually, the amount of rounding you do on the decimals depends on either the significant figures, the required amount of decimal places, or both :-)

OpenStudy (tylermckinney16):

ok

OpenStudy (kittiwitti1):

You got it? :-D

OpenStudy (tylermckinney16):

yeah lol

OpenStudy (tylermckinney16):

Thank so lool.

OpenStudy (tylermckinney16):

think

OpenStudy (kittiwitti1):

I getcha, no problem ^-^~

Directrix (directrix):

To solve the triangle completely means to find the measures of all missing sides and ll missing angles. So far, you have side AC = √224 = 4√14 or approx 14.967 What about the measures of angles A and B? @TylerMckinney16

OpenStudy (kittiwitti1):

Oh right; I forgot about that part... thanks for catching it @Directrix

Directrix (directrix):

Right Triangle Trig Refresher Chart.

OpenStudy (kittiwitti1):

D: I was gonna do that... Lol

OpenStudy (kittiwitti1):

Ok so yeah, @TylerMckinney16 which trig function would you like to use for angle ABC?

OpenStudy (tylermckinney16):

cos?

OpenStudy (kittiwitti1):

Alright :-) do you know where to go from here?

OpenStudy (tylermckinney16):

I do some but im not that great at it lol.

OpenStudy (kittiwitti1):

Alright well cosine is like this -\[\cos\theta=\frac{adjacent}{hypotenuse}\]Which values are the adjacent (to the angle ABC) leg and hypotenuse, respectively?

OpenStudy (tylermckinney16):

The bottom one is the adjacent right?

OpenStudy (kittiwitti1):

No, adjacent means "next to" :|

OpenStudy (kittiwitti1):

That's the opposite leg, which is used in sine equations... though you could do sine as well since we have all the sides' values

OpenStudy (tylermckinney16):

ok cool.

OpenStudy (tylermckinney16):

i understand.

OpenStudy (kittiwitti1):

Alright, you got it from here? :-)

OpenStudy (kittiwitti1):

.-.

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