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Mathematics 9 Online
OpenStudy (anonymous):

Find X and Y (Will draw)

OpenStudy (anonymous):

|dw:1338779896069:dw|

OpenStudy (anonymous):

x is top right and y is top left

OpenStudy (anonymous):

and the hypot is 4.6

Parth (parthkohli):

So we have to determine the two sides?

OpenStudy (anonymous):

yes

Parth (parthkohli):

So remember that in a 45-45-90 triangle, if the legs are x, then the hypotenuse would be \(x\sqrt{2}\). Now, just solve this proportion. \( \color{Black}{\Rightarrow 1:1\sqrt2=x:4.6 }\)

Parth (parthkohli):

Solve for x.

OpenStudy (anonymous):

how do you solve for x? i know how but not in this problem...

Parth (parthkohli):

Use a calculator

OpenStudy (anonymous):

okay do i need to put in that first 1: thing?

Parth (parthkohli):

Don't put the proportion. Put \({4.6 \div \sqrt2}\)

OpenStudy (anonymous):

okay i think i got it. I got 3.25 in case you did it too haha

Parth (parthkohli):

Hmm :)

OpenStudy (anonymous):

Yay thank you so much!

OpenStudy (anonymous):

do you want to help me with another problem :?

OpenStudy (anonymous):

You can SOHCAHTOA in such problems but such triangles are common. They usually have a family, pi/4,pi/6 and pi/3 and this triangle is in the pi/4 family. With the sides being 1 and 1 and the hypotenuse 2^1/2 or root 2. |dw:1338780500089:dw|

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