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Mathematics 17 Online
OpenStudy (savannaadams16):

Help, Please? Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =

OpenStudy (savannaadams16):

OpenStudy (savannaadams16):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

are you able to determine the length of AC?

OpenStudy (savannaadams16):

I'm not sure how to.

jimthompson5910 (jim_thompson5910):

are you familiar with this sort of template? http://hotmath.com/hotmath_help/topics/30-60-90-triangles/triangle1.gif

OpenStudy (savannaadams16):

No...

jimthompson5910 (jim_thompson5910):

|dw:1458773819375:dw|

jimthompson5910 (jim_thompson5910):

AB = 8 BC = 4 |dw:1458773933616:dw|

jimthompson5910 (jim_thompson5910):

ok it turns out that a 30-60-90 triangle is a special triangle where the side lengths form the ratio shown in this image here http://hotmath.com/hotmath_help/topics/30-60-90-triangles/triangle1.gif x is the short leg 2x is the hypotenuse (in other words, the hypotenuse is twice as long as the short leg) x*sqrt(3) is the long leg

jimthompson5910 (jim_thompson5910):

notice how 8 is twice as big as 4 and how 8 is the hypotenuse while 4 is the short leg (short leg is opposite smallest angle) |dw:1458774073147:dw| do you see what I'm referring to?

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