Question

I triangle xyz, p is the midpoint of yz. Find the ratio of area of xyz:area of xpz

Answer 1

Here,in triangle xyz,pis median so,it divide it into two triangles of equal area so,
ratio= 2:1

Answer 2

As point P is the midpoint of side yz, hence the line XP will be median of the triangle xyz.

And median divides the triangle in two triangles of equal area ;
hence the area of triangle xpz = 1/2 Ar(xyz)

Ar(xyz) : Ar(xpz)
= 2:1
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