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ΔABC of dimesions AB=4 cm,BC=5 cm and ∠B= 60is given.
A ray BX is drawn from B making an acute angle with AB.
5 points B1,B2,B3,B4 & B5 are located on the ray such that BB1=B1B2=B2B3=B3B4=B4B5.
B4 is joined to A and a line parallel to B4A is drawn through B5 to intersect the extended line AB at A.
Another line is drawn through A parallel to AC, intersecting the extended line BC at C.
Find the ratio of the corresponding sides of ΔABC and ΔABC.
Options:
A .  4:1
B .  4:5
C .  1:4
D .  1:5
Answer: Option B
:
B
ΔABC Of Dimesions AB=4 cm,BC=5 cm And ∠B= 60o is Given...
According to the construction, ΔBB4AΔBB5A
And for similar triangles, the ratio of corresponding sides is ABAB.
The ratio of corresponding sides is 4:5.

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