Question

100 points...
FIND THE VALUE OF 'X'​

Answer 1

Answer:

5.5

Step-by-step explanation:

Answer 2

Answer:

AD = X = 5.5 cm

Step-by-step explanation:

Given that,

AB = 6cm

BC =4.5cm

CD = 5 cm

AD = ?

Let AD = x

Construction :-

Make point (P,Q,R,S) on all tangents AB,BC,CD,AD respectively.

Solution:-

We know that AB,CD,BC,AD are tangents to the circle(C,O,R).

Thus, By radius tangent theorem,

AP = BP = 3cm

similarly, all tangents will be divided

according to their length.

But AP= AS, DR= DS

Hence AD = AS + DS

AD = 3 + 2.5

AD = 5.5 cm