Question

How do you find them?

Answer 1

Explanation:

NM is tangent to the circle at M and NL & NK are are secants.

`\therefore \: MN^2 = NA * NK \\ = 6 * (6 + 5) \\ = 6 * 11 \\ \therefore \: MN^2 = 66 \\ \therefore \: MN = √(66) \\ \therefore \: MN = 8.124 \\ \huge \red{ \boxed{ \therefore \: MN = 8.12}} \\ \\ MN^2 = NQ * NL\\</p><p>66= 5.7* (5.7+x)\\</p><p>\therefore\: (5.7+x)= (66)/(5.7)\\\\</p><p>\therefore\: 5.7+x = 11.6\\</p><p>\therefore\: x = 11.6 - 5.7\\</p><p>\huge \purple { \boxed{ \therefore\:x = 5.9}} </p><p></p><p>`