Answer:
a) Proved below
b) AD = 13.9 cm
Explanation:
a) Finding the length of AC by Pythagorean Theorem
c² = a² + b²
c² = 12² + 5²
c² = 144 + 25
c² = 169
Taking sqrt on both sides so
AC = 13 cm
Hence proved that AC = 13 cm
b) Calculating AD by Pythagorean Theorem
c² = a² + b²
c² = 13² + 5²
c² = 169 + 25
c² = 194
Taking sqrt on both sides
AD = 13.9 cm