shyam lal has two triangular plots connected to each other as showm in the figure he thought to give - Maths - Triangles

Question

shyam lal has two triangular plots connected to each other as showm
in the figure he thought to give bigger triangular part to his
daughter and son equally , what value is he exhibiting by doing so
? how a triangle can be divided into two parts of equal areas ?
also find the value of angle ZWX, if angle ZXW =
35,find the area of land given to son / daughter
if VY = 84 m, ZNperpendicular VY = ZN= 25 m

Rishabh Mittal · Accepted Answer

He is exhibiting the value of good father , for whom boy and girl both are equal
Triangle can be divided into two parts of equal areas , by drawing a median
Area of triangle YBZ=12×VY×NZ=12×84×25=1050 m2
Area of land given to son/daughter=10502=525 m2
∠YVZ=180-132=48°    Linear Pair∠YVZ+∠VZY+∠ZYV=180°     Angle Sum Property48°+52°+∠VZY=180°∠VZY=80°∠XZW=∠VZY=80°      Vertically opposite angles∠WZX+∠ZWX+∠ZXW=180°80°+35°+∠ZWX=180°∠ZWX=65°