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3 years ago

If the length of FG is 6 units, what is the length of EH?

Mathematics

1 answer:

QveST [7]3 years ago

4 0

FG goes through the center of the circle, so FG is diameter.

$d = 2r \\ r = \dfrac{d}{2} \\ \\ r = \dfrac{6}{2} = 3$

EH=r=3

Answer: EH=3

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Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______

Vesna [10]

Answer:

$c = 11$

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

$a = b= 5$

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

$a + b > c$

$a + c > b$

$b + c > a$

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: $a = b= 5$

$5 + 5 > c$ $===>$ $10 > c$

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The results of the inequality is: $10 > c$ and $c > 0$

Rewrite as: $c > 0$ and $c < 10$

$0 < c < 10$

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