pashakacey pashakacey
  • 15-07-2022
  • Mathematics
contestada

From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.





Select one:

a.
36


b.
9


c.
16


d.
6

From the diagram below if the sides AD 3 and DC 27 and BD X 3 find x Select one a 36 b 9 c 16 d 6 class=

Respuesta :

Medunno13
Medunno13 Medunno13
  • 15-07-2022

Answer: 6

Step-by-step explanation:

By the geometric mean theorem,

[tex]\frac{BD}{3}=\frac{27}{BD}\\\\(BD)^{2}=81\\\\BD=9\\\\\implies x=9-3=6[/tex]

Answer Link
KurdishPotato
KurdishPotato KurdishPotato
  • 15-07-2022

Answer:

x = 6

Step-by-step explanation:

BD is the height of the triangle.

We can find the height of this triangle using one of the Euclidian Theorem:

h^2 = AD*DC rewrite the equation using the given information

(x + 3)^2 = 3*27 multiply

(x + 3)^2 = 81 find the root of both sides

x + 3 = 9 subtract 3 from both sides

x = 6

Answer Link

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