Δ A B C of dimesions A B = 4 c m , B C = 5 c m and ∠B= 60 o is given. A ray B X is drawn from B making an acute angle with A B . 5 points B 1 , B 2 , B 3 , B 4 & B 5 are located on the ray such that B B 1 = B 1 B 2 = B 2 B 3 = B 3 B 4 = B 4 B 5 . B 4 is joined to A and a line parallel to B 4 A is drawn through B 5 to intersect the extended line A B at A ′ . Another line is drawn through A ′ parallel to A C , intersecting the extended line B C at C ′ . Find the ratio of the corresponding sides of Δ A B C and Δ A ′ B C ′ . Options: A . &nbsp 4 : 1 B . &nbsp 4 : 5 C . &nbsp 1 : 4 D . &nbsp 1 : 5

Answer: Option B : B According to the construction, Δ B B 4 A ∼ Δ B B 5 A ′ And for similar triangles, the ratio of corresponding sides is A B A ′ B . The ratio of corresponding sides is 4 : 5 .

ΔABC of dimesions AB=4 cm,BC=5 cm and ∠B= 60o is given.A ray BX is drawn f

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