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
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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:
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