A quadrilateral ABCD circumscribes a circle and AB = 6 cm,

Home » Aptitude » Plane Geometry » Question

A quadrilateral ABCD circumscribes a circle and AB = 6 cm, CD = 5 cm and AD = 7 cm. The length of side BC is

1. 4 cm
2. 5 cm
3. 3 cm
4. 6 cm

Correct Option: A

According to question , we draw a figure of quadrilateral ABCD circumscribes a circle

We know tangents drawn to a circle from same external point are equal
⇒ AM = AQ = x (say)
∴ MB = BN = 6 – x, QD = DP = 7 – x,
Let NC = PC = Z
Now let us Consider side DC = 7 – x + z = 5
BC = 6 – x + z = (7 – x + z) – 1
BC = 5 – 1 = 4