BC is 10 units.
Further explanation:
Given:
A (-3,-4)
B (5,2)
C (11,-6)
BC means we have to find the length or magnitude of BC.
The distance formula will be used to calculate the magnitude.
The distance formula is:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In the given scenario,
(x1, y1) = (5,2)
(x2,y2) = (11,-6)
Putting the values in the formula
[tex]BC = \sqrt{(11-5)^2+(-6-2)^2}\\BC = \sqrt{(6)^2+(-8)^2}\\BC = \sqrt{36+64}\\= \sqrt{100}\\ = 10\ units[/tex]
So, BC is 10 units.
Keywords: Magnitude of line, distance formula
Learn more about magnitudes at:
- brainly.com/question/1592430
- brainly.com/question/1597065
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