What is the value of x? Round to the nearest tenth.

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Question

What is the value of x? Round to the nearest tenth.
 
    
  http://static.k12.com/calms_media/media/1579000_1579500/1579365/1/7e7f355332a5bdeac1b57e95381ed388a6e3d7ea/MS_IMC-150126-130904.jpg

mehek14 · Answer

do you know how to use the pythagorean theorem?

mehek14 · Answer

$a^2+b^2=c^2?$

thesmartone · Answer

@Michele_Laino

mehek14 · Answer

put 12 for a and 24 for c

mehek14 · Answer

$12^2 + b^2 = 24^2$
find what $12^2$ and $24^2$ equal

anonymous · Answer

so I find b^2?

thesmartone · Answer

you find b^2 and then solve for b

mehek14 · Answer

first find $12^2$ and $24^2$

igreen · Answer

Use the Pythagorean Theorem.

$\sf a^2 + b^2 = c^2$

Where 'a' and 'b' are the two legs, and 'c' is the hypotenuse.

igreen · Answer

In this case, we are given the hypotenuse and the leg.

Plug them in:

$\sf a^2 + 12^2 = 24^2$

Simplify 12^2 and 24^2.

michele_laino · Answer

here we have to apply the theorem of Pitagora, so we can write this formula:
$$\Large x = \sqrt {{{24}^2} - {{12}^2}}  = \sqrt {576 - 144}  = \sqrt {432} $$

igreen · Answer

$\sf a^2 + 12^2 = 24^2$

Subtract 12^2 to both sides:

$\sf a^2 = 24^2 - 12^2$

Find the square root of both sides:

$\sf a = \sqrt{24^2 - 12^2}$

That's how @Michele_Laino arrived there..lol.

mehek14 · Answer

that moment I decide to help someone, yet people are nice enough to butt in

anonymous · Answer

yikes. im confused, thanks for all helping me, but I cant follow so many ppl

michele_laino · Answer

now using a calculator, for example windows calculator, we have:
$$\Large \sqrt {432}  = 20.784$$
so your answer is:
$$\Large x = 20.8$$

igreen · Answer

Simplify 24^2 and 12^2 first, like I and @Mehek14 stated.

thesmartone · Answer

Mehek... The user paid to get help from a QH =P

igreen · Answer

@TheSmartOne Or anybody else willing to help.

thesmartone · Answer

@iGreen 

like Mehek and I stated**

anonymous · Answer

thanks all you guys :)

igreen · Answer

.-.

igreen · Answer

Erm..isn't the point to guide people?

michele_laino · Answer

thanks! :)  @pikapow

anonymous · Answer

np

anonymous · Answer

i wish i could medal all you guys tho

igreen · Answer

You can. :P

thesmartone · Answer

Someone wants to get a medal *cough*

igreen · Answer

Take the medal you've given away.

Open up a new tab(s)(depending on how many medals you want to give)

Then give a medal to different people.

igreen · Answer

@TheSmartOne No, I don't.

Considering I have over 4,000, one more doesn't really affect anything. Plus, I have already gotten one. Just thought I'd tell the user a trick or two :P

anonymous · Answer

k, but it looks like you got a medal, so np right?

igreen · Answer

Yes, even if I didn't there still wouldn't be a problem.

Just telling you for future cases since you asked.