Question

Solve using geometric mean theorem

Answer 1

x = 6

Explanation:

• In
  `\triangle ABC, \:\angle A` is right angle. (Given)

• 
  `AD\perp BC` (Given)

• 
  `\implies AD^2 = BD* DC` (By geometric mean theorem)

• 
  `\implies x^2 = 4* 9`

• 
  `\implies x^2 = 36`

• 
  `\implies x =\pm√( 36)`

• 
  `\implies x =\pm 6`

• Value of x cannot be negative.

• -> x = 6