Answer:
AC = 15.6
Explanation:
AC = AE + EC
By he Pythagorean theorem,
A² + B² = C²
12² + 5² = AE²
144 + 25 = AE²
AE = √169
AE = 13
Find Angle AED
tan Angle AED = 12/5
Angle AED = tan-1 (12/5)
= 67.38°
Angle AED = Angle BEC
tan (67.38°) = BC/1
BC = 2.4
1² + 2.4² = EC²
6.76 = EC²
EC = √6.76
EC = 2.6
AC = 13 + 2.6
AC = 15.6