Answer:
2√17
Step-by-step explanation:
√((8 - 0)² + (2 - 0)²)
√(64 + 4)
√68
2√17
Length of [tex]AB = 2\sqrt{17}[/tex] units as per given coordinates [tex]A = (0,0)[/tex] and [tex]B=(8,2)[/tex].
" Length is defined as one of the dimension which represents the distance between two endpoints."
Formula used
Distance [tex]'d'[/tex] between two points [tex]A(x_{1}, y_{1})[/tex] and [tex]B(x_{2}, y_{2})[/tex].
[tex]d^{2} = (y_{2}- y_{1})^{2} + (x_{2}- x_{1})^{2}[/tex]
According to the question,
Given coordinates
[tex]A(x_{1}, y_{1}) = (0,0)[/tex]
[tex]B(x_{2}, y_{2})=(8,2)[/tex]
[tex]'l'[/tex] represents the length of AB
Substitute the value in the formula to get length of AB,
[tex]l^{2} = (2- 0)^{2} + (8- 0)^{2}\\\\\implies l^{2} = 4 + 64\\\\\implies l = \sqrt{68}\\ \\\implies l = 2\sqrt{17} \ units[/tex]
Hence, length of [tex]AB = 2\sqrt{17}[/tex] units as per given coordinates [tex]A = (0,0)[/tex] and [tex]B=(8,2)[/tex].
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