Question

In ∆ABC, point p is mid point. of side BC and point or is centroid If AG = 7 then find AP.​

Answer 1

Step-by-step explanation:

'D' is the midpoint of side BC.

'G' is the centroid of

△ ABC.

also given,

to find out,

ar(△ABD)

ar(△AGB)

as 'D' is the midpoint of BC

we get,BD=DC

'G' is the centroid of △ABC.

since we know that,

centroid divides a median in 2:1 ratio

we get,

AG:GD=2:1

as in the given figure ,

the two triangles △ ABD and △AGB

have the same base of line and the

common verier ,so their ratio of

the triangles area will be equal to their

base ratio

so we get,

ar(△ABD)

ar(△AGB)

=

AD

AG

⇒

AG+GD

AG

⇒

2+1

2

⇒

3

2

ar(△ABD)

(△AGB)

=

3

2

solution