In ABC AD is a medium if ar (ADB) = 53 cm^2 then find ar (ABC)
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Answer:
divides the triangle into two triangles of equal area.
BE is the median of triangle △ABD
∴ar(△ABD)=2ar(△ABE)
⇒ar(△ABD)=2×15=30 cm
2
Now, AD is the median of triangle ABC
∴ar(△ABC)=2ar(△ABD)
⇒ar(△ABC)=2×30=60 cm square2
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