Question

Given: AC and AE are common external tangents of G and D. FE = 26, GF = 5, and AG = 13.

What is the measure of AC?

Answer 1

26

Step-by-step explanation: I Took the test

Answer 2

the answer is 38



FG is 5. so BG is 5,too

FE = 26. so BC =26

now we should find AB with Pythagorean theorem:

`{5}^(2) + x {}^(2) = 13 {}^(2) \\ {x}^(2) = {13}^(2) - {5}^(2) \\ {x}^(2) = 169 - 25 = 144`

`x = √(144) = 12`
AB is 12
BC is 26
so AC is 12+26=38


good luck