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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e 13.2 cm.
| Understanding/Application |
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ABCD is a cyclic quadrilateral. length of AB = 16.5 cm Length of CD = 11 cm Length of AD = 19.8 cm For this cyclic quadrilateral, ratio of the area of ΔABC to the area of ΔACD will be equal to the ratio of the length of OB to the length of OD. so, Area of ΔABC/Area of ΔACD = OB/OD Since OB = OD (1/2 × 16.5 × X)/(1/2 × 19.8 × 11) = 1 X = (19.8 × 11)/16.5 X = 13.2 cm |