Question

1. Given that segments AE, AC, and CE lie tangent to the circle at points F, B, and D respectively, what is the length of AF below?

2. Given that segments AE, AC, and CE lie tangent to the circle at points F, B, and D respectively, what is the length of FE below?

Answer 1

1.
a. 9
b. 8
c. 7

2.
a. 2
b. 1
c. The answer cannot be determined.

Answer 2

@ganeshie8

Answer 3

lets say FE = x

Answer 4

ED = FE = x
=>
DC = 4-x
BC = DC = 4-x

=>
AB = 10 - (4-x) = 6+x

AB = AF
=>
6+x = 10-x
2x = 4
x = 2

so, AF = 10-x = 10-2 = 8

Answer 5

ohh okay. and FE= 2?

Answer 6

thats right, u can make t

Answer 7

* u can make that out by symmetry also, since two sides are equal, its an isosceles triangle. so FE and BC must be equal, and they must equal to 2, since they addup to 4.

Answer 8

thank you so much!

Answer 9

welcome :)