Find out ratio, Mathematics

the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d 

a)1:2 b)1:3 c)3:1 d)5:2

answer is (c) i.e. 3:1

Solution: Applying Pythagoras Theorem,

we get, (a+2d)2=a2+(a+d)2

=> a2+4d2+4ad=a2+a2+d2+2ad

=> 3d2+2ad-a2=0

=> (d+a)(3d-a)=0

neglecting (d+a)=0, by solving for (3d-a)=0, we get a:d=3:1

Posted Date: 8/20/2012 4:26:44 PM | Location : United States

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