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Free distance calculator - Compute distance between two points step-by-step
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18 sty 2024 · Use the distance calculator to check your results. Working out the example by hand, you get: ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 = ( 9 − 3 ) 2 + ( 15 − 5 ) 2 = 6 2 + 1 0 2 = 36 + 100 = 136 \begin{aligned} & \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ =& \sqrt{(9-3)^2+(15-5)^2} \\ =& \sqrt{6^2+10^2} \\ =& \sqrt{36+100} \\ =& \sqrt{136} \\ \end ...
Distance in the Euclidean Space. The distance between points A (X1, y1, z1) and B (x2, y2, z2) in spcace is given by the formula: $$ d(A,B) = \sqrt{(x_B - x_A)^2 + (y_B-y_A)^2 + (z_B-z_A)^2} $$ Example: Find distance between A(2, -1, 5) and B(3, 5, 2) Solution: In this example the constants are x1 = 2, y1 = -1, z1 = 5, x2 = 3, y2 = 5, z2 = 2.
Watch on. Practice Problems. Problem 1. What is the distance between the the points (0, 0) ( 0, 0) and (6, 8) ( 6, 8) plotted on the graph? The Distance Formula. Step 1. Note, you could have just plugged the coordinates into the formula, and arrived at the same solution. The Distance between the points (6,8) ( 6, 8) and (0,0) ( 0, 0)
How it works: Just type numbers into the boxes below and the calculator will automatically calculate the distance between those 2 points. How to enter numbers: Enter any integer, decimal or fraction. Fractions should be entered with a forward such as '3/4' for the fraction $$ \frac{3}{4} $$.
Problems. Problem 1: Find the distance between the points (2, 3) and (0, 6). Problem 2: Find the distance between point (-1, -3) and the midpoint of the line segment joining (2, 4) and (4, 6). Problem 3: Find x so that the distance between the points (-2, -3) and (-3, x) is equal to 5.