Question

if a point a device line segment a b of length 10 centimetre internally In the ratio 2:3 then find the length of a d ​

Answer 1

Given:

Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.

To find:

The length of ad.

Solution:

If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.

We know that,

$ab=ad+db$

Length of the segment ab is 10 cm.

$10=2x+3x$

$10=5x$

Divide both sides by 5.

$2=x$

Now,

$ad=2x$

$ad=2(2)$

$ad=4$

Therefore, the length of segment ad is 4 centimetres.