Geo Help!
B!
Its not B so now I know you're guessing :P
@Chris911
No i am not! never accuse me of lying :) it was worth a try though!
I checked the answer, its not B.. how would you get B?
do you know about pythagorean theorem ? a^2 + b^2 = c^2 for a right triangle
not much. could you show me how to do it?
First step, what are the lengths of the 2 "legs" of the triangle ?
3 and 6?
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 ?
36+9=45?
yes now square root that
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
9sqrt5
no
3sqrt5
to simplify sqr(45) write it as sqr(9*5) or sqr(3*3*5) now take out "pairs" from the square root.
cause 9 times 5 and then the three goes outside :P
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)
thanks 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
so I was right C 3sqrt5
yup C is right! thank you both so much for the help!
Join our real-time social learning platform and learn together with your friends!