Question

in the triangle ABC given below, Z is the mid point of the median AD . if the area of triangle ABC is 18 meter square.find the area of triangle BZC​

Answer 1

Answer:

In ΔABC, Z is the mid-point of the median AD

Join Z to B and C

Therefore, it will divide ΔABC into two triangles of equal area.

∴A(ΔBZD)=A(ΔBZA)

⇒A(ΔBZD)= 1/2 A(ΔABD)...............(i)

Also, A(ΔDZC)=A(ΔAZC)

⇒A(ΔDZC)= 1/2 A(ΔADC)......................(ii)

A(ΔBZD)+A(ΔDZC)= 1/2A(ΔABD)

+ 1/2 A(ΔADC)

A(ΔBZC)= 1/2 A(ΔABC)=

1/2 ×18=9m²

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Hope it will help you...