Answer:
AC=13cm
AD=13,9cm
Step-by-step explanation:
a)Pythagoras' Theorem in ABC, right-angle triangle
AC²=AB²+BC²
AC²=144cm²+25cm²=169cm²
b)ACD is right-angle triangle
AD²=AC²+CD²
AD²=169cm²+25cm²=194cm²
AD=√194cm
AD=13,9CM
ABC is a right triangle
So,
AC² = AB² + BC²
= (12 cm)² + (5 cm)²
= 144 cm² + 25 cm²
AC² = 169 cm²
AC = 13 cm
