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ABC is a right angled Delta in which ang...

ABC is a right angled `Delta` in which `angleB=90^@` and BC =a. If n points `L_1,L_2,L_3,...,L_n` on AB are such that AB is divided into (n+1) equal parts and `L_1M_1,L_2M_2,...,L_nM_n` are line segments parallel to BC and points `M_1,M_2,...,M_n` are on AC, then the sum of the lengths of `L_1M_1,L_2M_2,...,L_nM_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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