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starreee
18.11.2020 •
Mathematics
triangle ABC has vertices at A(1,-3),B(3,0), and C(5,-3). what is the distance from vertex B to the midpoint of AC
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Ответ:
The distance from vertex B to the midpoint of AC is 3.
Step-by-step explanation:
From Linear Algebra we understand that location of the midpoint of AC is determined by the following formula:
Where:
If we know that
and
, then the midpoint of AC is:
Lastly, the distance from vertex B to the midpoint of AC is calculated from the Pythagorean Theorem:
If we know that
,
,
and
, then the distance is:
The distance from vertex B to the midpoint of AC is 3.
Ответ: