Question 65

ABCD is a cyclic quadrilateral in which AB = 16.5 cm, BC = x cm, CD = 11 cm, AD = 19.8 cm, and BD is bisected by AC at O. What is the value of x ?

Solution

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ABCD is a cyclic quadrilateral in which AB = 16.5 cm
BC = x cm
CD = 11 cm
AD = 19.8 cm

By the property,

AB⋅BC = AD⋅DC

16.5 $$\times x = 19.8 \times 11$$

16.5 $$\times x = 217.8$$

x = 217.8/16.5 = 13.2 cm

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