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In triangle ABC, AD is the median to BC. The two triangles ABD and ACD formed by this median are compared.
Which statement is definitely true?

Class 7Medians and AltitudesTriangles
  • AArea(ABD) = Area(ACD)
  • BAB = AC always
  • CAngle ADB = Angle ADC always
  • DBD is not equal to DC

Step-by-Step Solution

A median splits a triangle into two triangles of equal area because BD = DC and both share the same height from A.
Answer: A) Area(ABD) = Area(ACD)

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