Question : ABCD is a cyclic quadrilateral in which AB = 15 cm, BC = 12 cm and CD = 10 cm. If AC bisects BD, then what is the measure of AD?
Option 1: 15 cm
Option 2: 13.5 cm
Option 3: 18 cm
Option 4: 20 cm
Answer (1)
22nd Jan, 2024
Correct Answer: 18 cm
Solution :
If ABCD is a cyclic quadrilateral in which AC bisects BD.
⇒ $\frac{\text{AD}}{\text{BC}}$ = $\frac{\text{AB}}{\text{DC}}$
⇒ $\frac{\text{AD}}{12}$ = $\frac{15}{10}$
⇒ AD = $\frac{3}{2}$ × 12 = 18 cm
Hence, the correct answer is 18 cm.
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