Answer:
x = 60
Step-by-step explanation:
By applying mean ratio theorem in the given right triangles ΔABC and ΔBDC,
[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]
BD² = AD × DC
BD² = 36 × 64
BD = [tex]\sqrt{36\times 64}[/tex]
BD = 48
By applying Pythagoras theorem in right triangle ΔADB,
AB² = AD² + BD²
x² = (48)² + (36)²
x² = 3600
x = 60
