Maths-
General
Easy

Question

Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (3,5), 𝐵 ≡ (−2,3)

Hint:

Distance between two points having coordinates (x1, y1) and (x2, y2) is given by formula:
Distance = square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root

The correct answer is: 5.38 units.


    • Step by step explanation:
    ○        Given:
    Points A (3,5) and B (-2,3).
    ○        Step 1:
    ○        Find distance:
    ○     Distance = square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root
    Distance = square root of left parenthesis negative 2 minus 3 right parenthesis squared plus left parenthesis 3 minus 5 right parenthesis squared end root
    rightwards double arrowDistance = square root of left parenthesis negative 5 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared end root
    rightwards double arrowDistance = square root of 25 plus 4 end root
    rightwards double arrowDistance = square root of 29
    rightwards double arrowDistance = 5.38 units
           Final Answer:
    Hence, the distance between points is 5.38 units.

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