prove that the area of trapezium is equal to the half the product of height and the sum of parallel side
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Let ABCD be a trapezium in which AB||CD
Draw CE ⊥ AB and AF ⊥ CD (Extended)
Let AB = a, CD = b and CE = AF = h
Hence area of trapezium ABCD = area of triangle ABC + area of triangle ADC
= (1/2) ah + (1/2) bh
= (1/2) h[a + b] sq units
Draw CE ⊥ AB and AF ⊥ CD (Extended)
Let AB = a, CD = b and CE = AF = h
Hence area of trapezium ABCD = area of triangle ABC + area of triangle ADC
= (1/2) ah + (1/2) bh
= (1/2) h[a + b] sq units
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