Question

in the figure, if B1, B2, B3,...... and A1, A2, A3,...... has been marked at equal distance. in what ratio C divides AB?

​

Answer 1

C divides AB in the ratio 8:5

Step-by-step explanation:

As shown in the attached figure

If we draw lines parallel to $CB_5$ from points $B_4,B_3,B_2$ and $B_1$ respectively

Also if we draw lines parallel to $CA_8$ from points $A_7, A_6,A_5,A_4,A_3,A_2$ and $A_1$ respectively

Then we can clearly see that CB contains 5 parts and CA contains 8 parts

Therefore, point C divides AB in the ratio 8:5[/tex]

Hope this answer is helpful.

Know More:

Similar Question:

https://brainly.in/question/25297031

https://brainly.in/question/25359446

Answer 2

Given : B1, B2, B3,.  and A1,A2, A3,. . have been marked at equal distances

To Find :  C divides AB in what ratio  

Solution:

in Δ B₅CB  & Δ A₈CA

∠B₅CB = ∠ A₈CA( vertically opposite angles)

∠CBB₅ = ∠CAA₈ ( alternate angles)

∠CB₅B   = ∠CA₈A  ( alternate angles)

Δ B₅CB  ≈ Δ A₈CA  (AAA)

Similar triangles corresponding angles are congruent and the corresponding sides are proportional

=> BC/AC  = BB₅ /AA₈

B1, B2, B3,.  and A1,A2, A3,. . have been marked at equal distances

=>BB₅   = 5x

  AA₈ = 8x

BC/AC = 5x / 8x

=> BC/AC = 5/8

=> AC/BC = 8/5

C divided AB in 8 : 5 ratio

 Learn More:

To divide a line segment AB in the ratio 3:4, we draw a ray AX, so ...

brainly.in/question/13663596

The ratio in which the y axis divides the line segment joining the ...

brainly.in/question/20223782

To divide a line segment BC internally in the ratio 3 : 5, we draw a ...

brainly.in/question/25266911