Question
Wed June 27, 2012 By: Tanaya Saha
 

In a right angled triangle with sides a and b and hypotenuse c, the altitude drawn on the hypotenuse is x. prove that ab=cx

Expert Reply
Thu June 28, 2012
 
In triangles ABD and ABC,
angle A = angle A
angle ADB = angle ABC
 
So, triangles ADB and ABC are similar.
 
Hence, AB/AC = BD/BC
a/c = x/b
Hence, ab = cx
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