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Mathematics 22 Online
OpenStudy (crashonce):

AD:DC =?

OpenStudy (crashonce):

|dw:1419748614877:dw|

OpenStudy (crashonce):

use trigonometry @ganeshie8

OpenStudy (crashonce):

@mathmath333

OpenStudy (mathstudent55):

Start with a right triangle, with right angle at B. |dw:1419749267533:dw|

OpenStudy (mathstudent55):

Now drop an altitude from the vertex of the right angle to the hypotenuse. |dw:1419749376030:dw|

OpenStudy (mathstudent55):

Now you have 3 right triangles, ABC, ABD, and BCD. Ok so far? |dw:1419749399644:dw|

OpenStudy (mathstudent55):

The 3 triangles are similar. This can be shown easily. Since the 3 triangles are similar, the lengths of corresponding sides are in proportion.

OpenStudy (mathstudent55):

AB : BC : AC = AD :BD : AB = BD : CD : BC

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