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Homework- One to One Solutions
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Maths-

General

Easy

Question

Find the distance between points A (3,8) and B (15,3).

12 units
11 units
13 units
14 units

hint 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: 13 units

Step by step explanation:

○        Given:
Points A (3,8) and B (15,3).
○        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 = $square root of left parenthesis 15 minus 3 right parenthesis squared plus left parenthesis 3 minus 8 right parenthesis squared end root$
$rightwards double arrow$ Distance = $square root of left parenthesis 12 right parenthesis squared plus left parenthesis negative 5 right parenthesis squared end root$
$rightwards double arrow$ Distance = $square root of 144 plus 25 end root$
$rightwards double arrow$ Distance = $square root of 169$
$rightwards double arrow$ Distance = 13 units
Hence, the distance between points is 13 units.
●       Final Answer:
Correct option : C.13 units.

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