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AD:DC =?
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|dw:1419748614877:dw|
use trigonometry @ganeshie8
@mathmath333
Start with a right triangle, with right angle at B. |dw:1419749267533:dw|
Now drop an altitude from the vertex of the right angle to the hypotenuse. |dw:1419749376030:dw|
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Now you have 3 right triangles, ABC, ABD, and BCD. Ok so far? |dw:1419749399644:dw|
The 3 triangles are similar. This can be shown easily. Since the 3 triangles are similar, the lengths of corresponding sides are in proportion.
AB : BC : AC = AD :BD : AB = BD : CD : BC
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