Answer:
AC = 29
Explanation:
We'll begin by calculating AD. This can be obtained as follow:
AB = 29
BD = 17
AD =?
AB² = BD² + AD²
29² = 17² + AD²
841 = 289 + AD²
Collect like terms
841 – 289 = AD²
552 = AD²
Take the square root of both side
AD = √552
Finally, we shall determine AC. This can be obtained as follow:
DC = BD = 17
AD = √552
AC =.?
AC² = DC² + AD²
AC² = 17² + (√552)²
AC² = 289 + 552
AC² = 841
Take the square root of both side
AC = √841
AC = 29