Question

85. In the following figure, find the rzas
of the inscribed circle.
6 cm
B
E
(a) 1 cm
(c) 3 cm
6) 2 cm
(d) 4 cm​

Answer 1

Answer:

2 cm

Step-by-step explanation:

(TANGENTS FROM A POINT TO THE CIRCLE ARE EQUAL)

AF = AD

BF = BE

CE = CD

AB=6

BC=8

Therefore AC= 10cm

AD+DC= 10cm

AF+CE =10cm

Therefore BF + BE= (6+8) - 10cm

= 4cm

angle B= angle BFO = angle BEO = 90

OF = OE = radius

therefore BFOE is a square

hence BF+BE=4

BF= BE= 2cm

hence radius is 2cm