Question

Taking the square root of which of the following expressions gives the length of the line segment shown?

32 + (-5)2
42 + 72
72 - 42

Answer 1

Answer: 4²+7²

Explanation:

since length of line segment (x1,y1) and (x2,y2) is given by

`√((x1-x2)^2+(y1-y2)^2)`

here (x1,y1)=(3,-5) and (x2,y2)=(-1,2)

hernce length =
`√((3-(-1))^2+(-5-2)^2)`

=
`√((4)^2+(7)^2)`

Answer 2

the answer is b) 4^2 + 7^2
proof
(3.-5) - (-1.2) = (4. -7), the length of vectAB((4. -7) =sqrt (4^2 + 7^2)