qurataz
qurataz
21-05-2022
Mathematics
contestada
solve using geometric mean theorem
Respuesta :
Hrishii
Hrishii
21-05-2022
Answer:
x = 6
Step-by-step explanation:
In [tex] \triangle ABC, \:\angle A[/tex] is right angle. (Given)
[tex]AD\perp BC[/tex] (Given)
[tex] \implies AD^2 = BD\times DC[/tex] (By geometric mean theorem)
[tex] \implies x^2 = 4\times 9[/tex]
[tex] \implies x^2 = 36[/tex]
[tex] \implies x =\pm\sqrt{ 36}[/tex]
[tex] \implies x =\pm 6[/tex]
Value of x cannot be negative.
-> x = 6
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