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प्रश्न
Quadrilateral ABCD is circumscribed to a circle. If AB = 6 cm, BC = 7 cm and CD = 4 cm, then AD = ______.
रिक्त स्थान भरें
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उत्तर
Quadrilateral ABCD is circumscribed to a circle. If AB = 6 cm, BC = 7 cm and CD = 4 cm, then AD = 3 cm.
Explanation:
In a quadrilateral circumscribed about a circle (a tangential quadrilateral), the sums of the lengths of opposite sides are equal:
AB + CD = BC + AD
So AD = AB + CD – BC
= 6 + 4 – 7
= 3 cm
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