Question

26. In the given figure, quadrilateral ABCD circumscribed the circle. Find thelength of the side CD if AE = x units, DH = (x-4) units, CG = y units, BF = (27-3)units, AD = 5 cm & BC = 13 cm​

Answer 1

Answer:

Tangents drawn from am external point to a circle

are equal in length

so from the diagram we get

↓

AH

=

↓

AE

;DH=DG;

↓

CG

=

↓

CF

4−x=x y=2y−3

2x=4

y=3

x=2

As x=2 DH=5−AH=5−(4−x)

=3

as DH=DG DG=3

So Length of CD=CG+GD

=3+3=6