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
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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