 Hello and welcome to the session. Let's discuss the following question. It says in figure 6.44 abc and dbc are two triangles on the same base bc. If ad intersects bc at o show that area of triangle abc upon area of triangle dbc is equal to a o upon d o and this is the figure 6.44 here abc and the triangle dbc stands on the same base. So let's now move on to the solution and let's first write what is given to us. We are given triangles abc and dbc stand on the same base and what we have to prove we have to prove that the area of triangle abc upon area of triangle dbc is equal to a o upon d o. Now to prove this we need to do some construction. So what construction we do is draw a perpendicular ae on bc and df on bc. Let's now start on with the proof. In triangle aoe and triangle dof that is this and this angle ae o is equal to angle df o because each is 90 degrees and angle aoe is equal to angle dof because these are vertically opposite angles. Now since in two triangles corresponding angles two corresponding angles are equal therefore by the angle angle criteria triangle aoe is similar to triangle dof. So two triangles are similar therefore the corresponding sides are in the same ratio. So this implies ae upon df is equal to aoe upon od. Let's name this as 1. Now we consider the area of triangle abc upon area of triangle dbc. Now area of triangle abc will be given by 1 by 2 base which is bc into height and height here is ae and in triangle dbc area of triangle dbc will be given by half into base into height and which is df that is this and here we have height as ae and we write the area of triangle is equal to 1 by 2 into base into height. Now 1 by 2 gets cancelled with 1 by 2 bc gets cancelled with bc and we have area of triangle abc is equal to area of triangle dbc is equal to ae upon df. Now from 1 we have ae upon df is equal to a upon od. So we have area of triangle abc upon area of triangle dbc is equal to ae upon od. So this is what we have to prove. So hence the result is proved. So this completes the question and the session. Bye for now. Take care. Have a good day.