Question

Divide seg AB of length 7cm into a ratio 3:2​

Answer 1

Answer:

21/ 5 cm and 14/ 5 cm

Step-by-step explanation:

Suppose, segment AB is divided into two parts.

• if the length of one part is x cm

• the length of second part will be (7 - x) cm

[because the total length is 7 so both the parts must sum up to 7]

The ratio between the two parts = 3 : 2

=> 3/ 2 = x/ (7- x)

• cross multiplying

=> 3( 7 - x) = 2x

=> 21 - 3x = 2x

=> 21 = 5x

=> x = 21/ 5 cm

• So, one part of the segment is 21/ 5 cm

• other part = 7 - x = 7 - 21/ 5

= (35 - 21)/ 5

= 14/ 5 cm

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Hope this helps !