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Mathematics 8 Online
woolyfrog:

http://prntscr.com/j01309

woolyfrog:

@bm717

bm717:

What do you think AD is?

woolyfrog:

I don't know

woolyfrog:

100

Vocaloid:

first step is to look at the small triangle |dw:1522722903578:dw|

Vocaloid:

this is a special type of triangle called a 30-60-90 triangle where the side across from 30 is x, the side across from 60 is x* sqrt(3), and the hypotenuse is 2x that being said, the side across from 30 is the side across from 60 divided by sqrt(3), so just 5

Vocaloid:

|dw:1522722998811:dw|

Vocaloid:

now we have to examine the big triangle|dw:1522723035332:dw|

Vocaloid:

based on what we said earlier, what do you think the side across from 60 must be?

Vocaloid:

well, remember what we said earlier - the side across from 60 is sqrt(3) times the side across 30 so 5sqrt(3) * sqrt(3) = 5 * 3 = 15, so we combine our data like so:

Vocaloid:

|dw:1522723411047:dw|

Vocaloid:

if the entire flagpole is 15 and the segment BC is 5, then what do you think AB might be?

woolyfrog:

10

Vocaloid:

good

woolyfrog:

thanks

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