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ABC is a right angled triangle in which ...

ABC is a right angled triangle in which `angleB=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_1M_1,L_2M_2,...L_nM_n` are line segments parallel to BC and `M_1,M_2,...M-n` are on AC. Then the sum og 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

impossible to find from the given data

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The correct Answer is:
A
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