Answer:
XB ≈ 5.3 cm
Step-by-step explanation:
From the diagram :
In ΔXNC,
m∠XNC = 90°
Now, m∠XNC + m∠XNB = 180° ( Sum of angles forming a linear pair is supplementary )
⇒ 90° + m∠XNB = 180°
⇒ m∠XNB = 180° - 90°
⇒ m∠XNB = 90°
Now, in right angled ΔXNB Applying Pythagoras theorem , We have
XB² = NB² + XN²
⇒ XB² = 4.2² + 3.2²
⇒ XB² = 27.88
⇒ XB = 5.28 cm
⇒ XB ≈ 5.3 cm
