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Mathematics 10 Online
OpenStudy (calculusxy):

More help on geometry!

OpenStudy (calculusxy):

OpenStudy (calculusxy):

@mathmale

OpenStudy (calculusxy):

@DanJS

OpenStudy (danjs):

same idea here, what you get so far

OpenStudy (danjs):

the small triangle is x - x - x*root2 right

OpenStudy (calculusxy):

so i just checked out this short cut formula that tells me the shorter leg length: \(\text{SL=}\frac{1}{2}\text{H}\) SL is the length of the shorter leg H is the hypotenuse

OpenStudy (danjs):

ill draw er up, you can reply with drawing |dw:1453334178950:dw|

OpenStudy (calculusxy):

i did find SL and I got 9/2. how do i get it to the place where x is ?

OpenStudy (calculusxy):

do i continue to find 1/2 of 9/2 because 9/2 looks like the hypotenuse of the smaller triangle.

OpenStudy (danjs):

here is a little reference if you want http://www.regentsprep.org/regents/math/algtrig/att2/ltri45.htm the way i would do it is...

OpenStudy (calculusxy):

wow! i was looking at the 30-60-90!

OpenStudy (danjs):

small would be x - x - x*root2 therefore the large is, x*root2 - x*root2 - 9 right?

OpenStudy (calculusxy):

yes

OpenStudy (danjs):

apply the thing again, for the large 9 is root 2 times the side length 9 = (x*root2)*root2

OpenStudy (danjs):

and that gives you the x value you need

OpenStudy (calculusxy):

ok gimme a moment

OpenStudy (danjs):

k, you can reply with the drawing if you want

OpenStudy (calculusxy):

x = 9/2

OpenStudy (danjs):

yeah, you get what i did, just used the same ratio property a couple times

OpenStudy (danjs):

|dw:1453334537962:dw|

OpenStudy (danjs):

then the larger one gives you the slant side. The slant is root 2 times the side length, or 9 is root2 times x*root2

OpenStudy (danjs):

|dw:1453334628948:dw|

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