Question

Point B ∈ AC. Find the length of segments AB and BC if AC = 20 cm and: AB:BC = 3:7

Answer 1

Answer:

AB= 6 cm

BC= 14 cm

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Answer 2

Answer:

Length of AB  = 6 cm

Length of the segment BC =  14 cm

Step-by-step explanation:

Here, B is a point on a segment AC.

AB : BC = 3:7

Length of the segment AC = 20 cm

Now, let the common ratio between the segment is x.

So, the length of AB = 3 x , and Length of BC = 7 x

Now, AB + BC = AC

⇒  3x + 7x = 20

or, 10 x = 20

or, x = 2

Hence, the length of AB = 3 x = 3 x 2 = 6 cm

and the length of the segment BC = 7x =  7 x 2 =  14 cm