Question

In a triangle xyz x is a median on a side x y z find the ratio of area of triangle x y a

Answer 1

In triangle XYZ,

XA is the median of side YZ.

So, YA=AZ=1/2 YZ

Let height of triangle= h cm

Area of triangle= 1/2×base×height

So, Area of triangle XYA = 1/2×YA×h

And, Area of triangle XZA= 1/2×ZA×h

⇒Area of triangle XYA = Area of triangle XZA

=1/2×YA×1/2h×ZA×h =YAZA =YAYA

YA=ZA =1

⇒Area of triangle XYA:Area of triangle XZA=1:1