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Show that a median of a …

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Show that a median of a triangle divides it whose triangles of equal area
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Student 10Th 4 years, 1 month ago

Let ABC be a triangle and Let AD be one of its medians. In △ABD and △ADC the vertex is common and these bases BD and DC are equal. Draw AE⊥BC. Now area(△ABD)= 2 1 ​ ×base×altitude of△ADB = 2 1 ​ ×BD×AE = 2 1 ​ ×DC×AE(∵BD=DC) but DC and AE is the base and altitude of △ACD = 2 1 ​ × base DC × altitude of △ACD =area△ACD ⇒area(△ABD)=area(△ACD) Hence the median of a triangle divides it into two triangles of equal areas. solution.
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