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ABC is a right angled triangle in which ...

ABC is a right angled triangle in which `/_B=90^(@)` and BC=a. If n points `L_(1),L_(2),"…….",L_(n)` on AB are such that AB is divided in `n+1` equal parts and `L_(1)M_(1),L_(2)M_(2),"......,"L_(n)M_(n)` are line segments parallel to BC and `M_(1),M_(2),M_(3),"......,"M_(n)` are on AC, the sum of the lenghts of `L_(1)M_(1),L_(2)M_(2),"......,"L_(n)M_(n)` is

A

`(a(n+1))/(2)`

B

`(a(n -1))/(2)`

C

`(an)/(2)`

D

None of these

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The correct Answer is:
C
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