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in Quadrilaterals by (23.6k points)
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In a quadrilateral ABCD, ∠B = 90° and AD2 = AB2 + BC2 + CD2. Then ∠ACD is equal to:

(a) 90° 

(b) 60° 

(c) 30° 

(d) None of these

1 Answer

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Best answer

(a) 90°.

Given, AD2 = AB2 + BC2 + CD2 

= AC2 + CD2           (In ∆ABC, AB2 + BC2 = AC2

⇒ ∠ACD = 90°.

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