In Δ ABC, ∠B is a right angle and is an altitude. If AD = BD = 5, then DC =

As we know that,

If an altitude is drawn to hypotenuse of a right angled triangle, then the length of altitude is the geometric mean of lengths of segments of hypotenuse formed by the altitude.

BD² = AD.CD

⇒ 5² = 5.CD

⇒ CD = 5

∴ Option (c) is correct.