distance between two points A (6 - 10) and B (6 ,15 ) is
Answers
Step-by-step explanation:
Quick Explanation
When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this:
distance = √ a2 + b2
graph 2 points
Imagine you know the location of two points (A and B) like here.
What is the distance between them?
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We can run lines down from A, and along from B, to make a Right Angled Triangle.
And with a little help from Pythagoras we know that:
a2 + b2 = c2
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Now label the coordinates of points A and B.
xA means the x-coordinate of point A
yA means the y-coordinate of point A
The horizontal distance a is (xA − xB)
The vertical distance b is (yA − yB)
Now we can solve for c (the distance between the points):
Start with: c2 = a2 + b2
Put in the calculations for a and b: c2 = (xA − xB)2 + (yA − yB)2
Square root of both sides: c = square root of [(xA-xB)^2+(yA-yB)^2]
Done!
Examples
Example 1
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Fill in the values: c = square root of [(9-3)^2+(7-2)^2]
c = square root of [6^2+5^2] = square root of 61
Example 2
It doesn't matter what order the points are in, because squaring removes any negatives:
graph 2 points
Fill in the values: c = square root of [(3-9)^2+(2-7)^2]
c = square root of [(-6)^2+(-5)^2] = square root of 61
Example 3
And here is another example with some negative coordinates ... it all still works:
graph 2 points
Fill in the values: c = square root of [(-3-7)^2+(5-(-1))^2]
c = square root of [(-10)^2+(6)^2] = square root of 136
(Note √136 can be further simplified to 2√34 if you want)
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Answer:
25
Step-by-step explanation:
Using Distance formula:-