Point p partitions the directed segment from A to B in the ratio of 2 to 3. AP is what percent of AB?
Answer:
AP is 40 % of AB.
Step-by-step explanation:
Given: Point P divides Line Segment AB in Ratio 2 : 3.
To find: AP % of AB
Since, P divide \(\overline{AB}\) in 2 : 3
⇒ AP : PB = 2 : 3
Total of AP & PB is AB
Total Part of 2 : 3 = 2 + 3 = 5
So, 2 represent AP length
3 represent PB length
5 Represent AB length
Percentage for AP of AB = \(\frac{2}{5}\times100\)
= \(\frac{200}{5}\)
= 40 %
Therefore, AP is 40 % of AB.