Question

Solve using geometric mean theorem

Answer 1

Answer:

x = 6

Step-by-step explanation:

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

• $AD\perp BC$ (Given)

• $\implies AD^2 = BD\times DC$ (By geometric mean theorem)

• $\implies x^2 = 4\times 9$

• $\implies x^2 = 36$

• $\implies x =\pm\sqrt{ 36}$

• $\implies x =\pm 6$

• Value of x cannot be negative.

• -> x = 6