Question

In triangle ABC, AD is the median and P is a point on AD such that AP : PD = 1 : 3. Find the area of triangle ABP

Answer 1

Step-by-step explanation:

Given  

In triangle ABC, AD is the median and P is a point on AD such that AP : PD = 1 : 3. Find the area of triangle ABP

We know that In a triangle AD is the median

Area of ABD = area of ADC = 1/2 area of ABC

Now Area of ABD is divided in the ratio 1:2 at P

So area of ABP

= 1/1 + 2 Area of ABD

= 1/3 Area of ABD = 1/6 Area of ABC