Question

In Triangle ABC, AD is an altitude and A is right angle. If AB = √20 , BD = 4 then find CD​

Answer 1

Answer:

CD = 1

Step-by-step explanation:

As we know that,

If an altitude is drawn to hypotenuse of a right angled triangle, then the length of each side other than the hypotenuse is the geometric mean of length of hypotenuse and segment of hypotenuse adjacent to the side.

⇒ $AB^{2}$ = BD.BC

⇒ 20 = 4. BC

⇒ BC = 5

Also, CD = BC – BD

CD = 5 – 4

CD = 1