The length of the segment AB will be equal to 9.848 units.
What is the Pythagorean theorem?
It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
The length of segment AB will be calculated as:-
Points are A(1,7) and B(10,3)
AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
AB = [tex]\sqrt{(10-1)^2+(3-7)^2}[/tex]
AB = √(81+16)
AB = √97
AB = 9.848
Therefore the length of the segment AB will be equal to 9.848 units.
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