Question

Find the value of x. Do not include "x=" in your answer.
26
13
х

Answer 1

x = 39

Explanation:

Secant and tangent line from a point outside the cirlcle,

(length of th tangent)² = length of the secant * external segment

26² = (13 + x) * 13

`\sf (13 +x)*13 = 26 *26\\`

`\sf 13 + x =(26*26)/(13)`

13 + x = 2* 26

13 + x = 52

x = 52 - 13

x = 39