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 is divided in n+1 equal parts and `L_(1)M_(1), L_(2)M_(2),…,L_(n)M_(n)` are line segments paralllel to BC and `M_(1), M_(2),….,M_(n)` are on AC, then the sum of the lengths of `L_(1)M_(1), L_(2)M_(2),...,L_(n)M_(n)` is

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

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

`(an)/2`

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