Question

In the above sided figure, find the value of x. ​

Answer 1

Answer:

6cm

Step-by-step explanation:

pf=fs

SE=FS-FE

therefore, 7-4 =3

SE=RE=3cm

DR=RE

so x=3+3

6cm...

Answer 2

Answer:

9cm is the required value of x .

Step-by-step explanation:

Explanation:

Given , FG tangent at P

GD tangent at Q  , DE tangent at R and FE tangent at S

FE = 7cm , FP = 4cm and GQ = 6cm

DE = x cm .

Step1:

Therefore , PF = FS = 4cm

(length of tangent from point to circle are equal)

so, SE = FE - FS = 7 - 4

    SE = 3 cm

Similarly , RE = SE = 3cm

(length of tangent from point to circle are equal )

Now, RD = QD =GQ =6cm

(tangent from point D to circle )

GQ= 6 cm given in the question

Therefore , DE = RD + RE

    DE = 6cm + 3cm = 9 cm

Final answer :

Hence , the value of x is 9 cm .