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Find The Length Of The Diagonal AC

Sujoy Das
06/02/2018 0 0

Question:

In a cyclic quadrilateral ABCD, AB = 4, BC= 5, CD = 9 and DA = 5. Find the length of the diagonal AC.

(1) 8

(2) 7

(3) 6

(4) √61.

 

Solution:

AC*BD = 36+25 = 61

AC/BD = 20+45/ 20+45 = 1

Multiplyin AC^2 = 61

AC = root 61

Formula = AC = √{(ac+bd)×(ad+bc)/(ab+cd)}

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