A boy is designing a diamond shaped kite, as shown in the figure where AE = 16 cm, EC = 81 cm. He wants to use a straight cross bar BD. How long should it be?

To find DB

ADE = 90 – x ( AED = 90 and sum of angles of triangle is 180)

EDC = x ( ADC = 90) ----(2)

EAD = EDC (by (1) and (2)) ----(3)

Now,

In ΔAED and ΔDEC

AED = DEC (both perpendicular to AC)

ΔAED ΔDEC

( ΔAED ΔDEC)

16×81 = ED2

ED = 36 cm

2×ED = DB = 72 cm

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