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Mathematics 15 Online
OpenStudy (anonymous):

Geometry help please! :) 2. Will you check this for me please? 3 and 5. Look at pictures attatched below please

OpenStudy (britanyashton):

...what pictures?

OpenStudy (anonymous):

OpenStudy (anonymous):

@britanyashton above

OpenStudy (athenawolf):

Well, 2 looks like you've got it. Remember the rules of a 30-60-90 triangle. The short leg is half of the hypotenuse and the long leg is the short leg times the square root of three.

OpenStudy (athenawolf):

In a 45-45-90 triangle, the leg is 1/2 of the hypotenuse times the square root of two. The hypotenuse is the leg time square root of two.

OpenStudy (anonymous):

I am coming out with a decimal and its incorrect (for #3) @AthenaWolf

OpenStudy (athenawolf):

What decimal are you getting?

OpenStudy (anonymous):

7.09

OpenStudy (athenawolf):

That is really close. You don't need it in decimal form on the problem though.

OpenStudy (anonymous):

is it 15/2?

OpenStudy (athenawolf):

Not quite. Remember that you're solving for the leg using the hypotenuse of a 45-45-90 triangle.

OpenStudy (anonymous):

Yeah I understand that I just cant seem to understand it

OpenStudy (athenawolf):

Okay. Let's break it down then. What is 1/2 of the hypotenuse in number 3?

OpenStudy (anonymous):

5

OpenStudy (athenawolf):

Okay, so what do you need to multiply that by to get the answer according to the formula?

OpenStudy (anonymous):

square root of 2

OpenStudy (athenawolf):

Exactly! So what is the answer?

OpenStudy (anonymous):

5 square root 2?

OpenStudy (athenawolf):

Correct! Great job!

OpenStudy (anonymous):

what about 5?

OpenStudy (athenawolf):

Well, if the long leg is the short leg times the square root of three, how would you get the short leg from the long leg?

OpenStudy (anonymous):

divide it by the square root of 3?

OpenStudy (athenawolf):

Yes! Then you will need to rationalise the denominator by multiplying both the top and the bottom by square root of three.

OpenStudy (anonymous):

so the answer would be D?

OpenStudy (athenawolf):

Not quite. Remember that you are using square root of three.

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