Question

the adjoining figure shows that ac=bd if ab=cd
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Answer 1

Answer

Given,

AC=BD ... (i)

AC=AB+BC ……(ii) (Point B lies between A and C)

BD=BC+CD … (iii) (Point C lies between B and D)

Now,

substituting (ii) and (iii) in (i), we get

⇒AB+BC=BC+CD

⇒AB+BC–BC=CD

⇒AB=CD

Hence, AB=CD.