Question

if a point D divides line segment AB of length 10 cm internally in the ratio 2:3 then find the length of AD​

Answer 1

According to the Question,

Let Point D divides the line segment AB of length 10 cm such that

• AD = 2x
• DB = 3x

Their sum of length should be 10 cm.

So, AD + DB = AB

⇒ 2x + 3x = 10

⇒ 5x = 10 cm

⇒ x = 10 ÷ 5 cm

⇒ x = 2 cm

We know that

AD = 2x

Substitute the value of x to find the length of AD

→ AD = 2(2)

→ AD = 4 cm

Now, for finding DB;

We can either subtract AD length from 10 cm or substitute the value of x in '3x'

In both the methods we get DB as 6 cm.

∴ DB = 10 cm