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Mathematics 13 Online
OpenStudy (anonymous):

Geo Help!

OpenStudy (anonymous):

OpenStudy (anonymous):

B!

OpenStudy (anonymous):

Its not B so now I know you're guessing :P

OpenStudy (anonymous):

@Chris911

OpenStudy (anonymous):

No i am not! never accuse me of lying :) it was worth a try though!

OpenStudy (anonymous):

I checked the answer, its not B.. how would you get B?

OpenStudy (phi):

do you know about pythagorean theorem ? a^2 + b^2 = c^2 for a right triangle

OpenStudy (anonymous):

not much. could you show me how to do it?

OpenStudy (phi):

First step, what are the lengths of the 2 "legs" of the triangle ?

OpenStudy (anonymous):

3 and 6?

OpenStudy (phi):

yes. the little red mark means that side is the same as the other line with a little red mark... i.e. it has length 6 we call the legs a and b in the formula a^2 + b^2 = c^2 replace the letters with the numbers (which is a or b does not matter) what do you get ?

OpenStudy (anonymous):

36+9=45?

OpenStudy (chris911):

yes now square root that

OpenStudy (phi):

yes. c^2 = 45 and btw, c is what we name the hypotenuse in the right triangle. in your problem x is the hypotenuse. so far, you know x^2= 45

OpenStudy (anonymous):

9sqrt5

OpenStudy (anonymous):

no

OpenStudy (anonymous):

3sqrt5

OpenStudy (phi):

to simplify sqr(45) write it as sqr(9*5) or sqr(3*3*5) now take out "pairs" from the square root.

OpenStudy (anonymous):

cause 9 times 5 and then the three goes outside :P

OpenStudy (phi):

btw, there is a "trick" you can use to make the arithmetic easier. the legs are 3 and 6. we can "factor out a 3" to get 1 and 2 now use 1 and 2 in the pythagorean theorem 1^2 + 2^2 = c^2 1+4= c^2 5 = c^2 and c= sqr(5) then (because we factored out a 3) "fix the answer" by multiplying by the 3 to get 3 sqr(5)

OpenStudy (chris911):

thanks phi

OpenStudy (phi):

If that is confusing, you don't need to know it. But if you can make sense of it. it is a good trick to learn

OpenStudy (chris911):

so I was right C 3sqrt5

OpenStudy (anonymous):

yup C is right! thank you both so much for the help!

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