Advertisements
Advertisements
Question
Quadrilateral ABCD is circumscribed to a circle. If AB = 6 cm, BC = 7 cm and CD = 4 cm, then AD = ______.
Fill in the Blanks
Advertisements
Solution
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
shaalaa.com
Is there an error in this question or solution?
