The-parallelogram-ABCD-has-AB-6-AC-7-amp-d-D-AC-2-Find-d-D-AB-

Question Number 144074 by bobhans last updated on 21/Jun/21

The parallelogram ABCD has

∣∣ AB ∣∣ = 6, ∣∣ AC ∣∣= 7 & d (D, AC) = 2

Find d (D, AB) .

Answered by liberty last updated on 21/Jun/21

{Area}_{Δ ADC} = \frac{2 \times 7}{2} = 7

{Area}_{ABCD} = 2 \times [{area}_{Δ ADC}] = 14

{Area}_{ABCD} = AB \times DF = 14

∣∣ DF ∣∣ = \frac{14}{6} = \frac{7}{3} .

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