If a point D divides line segment AB of length 10 cm internally in the ratio 2:3,
then find the length of AD.
Answers
Given:
The total length of the line segment AB= 10 cm
The ratio by which point D divides the line segment AB= 2:3
To find:
The length of AD.
Solution:
If the point D divides the line segment AB in ratio 2:3 then length of AD will be:
AD = (2/ 2+3) × 10
= (2/5)×10
= 4 cm
We can also find the length of DB by just subtracting the length of AD from the total length of the line segment AB.
Therefore,
DB= 10-4 = 6 cm
Thus, the length of AD is 4 cm.
Question :- if a point ‘D’ divide line segment AB of length 10cm internally in the ratio 2:3 then find the length of AD ?
Answer :-
Let us assume that, D divide the line segment AB in ratio of 2x and 3x respectively .
so,
→ AD + DB = 2x + 3x
→ AB = 5x
→ 10 = 5x
→ x = 2 cm
therefore,
→ AD = 2x
→ AD = 2 * 2 = 4 cm. (Ans.)
Hence, Length of AD will be 4 cm.
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