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AREA OF A TRIANGLE. E. F. D. A. O. h units. B. C. a units. Consider a triangle ABC having BC = a units. Draw the height AD= h units. Draw a line EF, dividing the height AD in equal parts at O. A. E. O. F. B. C. Cut the upper triangles AEO & AOF. E. F. D. A. E. O.
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E F D A O h units B C a units • Consider a triangle ABC having BC = a units. • Draw the height AD= h units. • Draw a line EF, dividing the height AD in equal parts at O.
A E O F B C • Cut the upper triangles AEO & AOF.
E F D A E O F B C • Join the triangle AOF in the side of FC & triangle AEO in the side of BE.
h/2 units A G E O F H B C D a units • Now BCHG forms a rectangle having BC = a units & height = h/2 units.
h/2 units A G E O F H B C D a units • Area of the triangle = Area of the rectangle = length x breadth = BC x BG = BC x OD = ( a x h/2) sq. units = ½ a. h sq. units