Length and Distance Calculator

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Example

Created on 2024-06-20Asked by Sebastian Nelson (Solvelet student)

Find the distance between the points

(1, 2)

and

(4, 6)

Solution

The distance

d

between two points

(x_1, y_1)

and

(x_2, y_2)

is given by the distance formula:

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substitute the given points

(1, 2)

and

(4, 6)

into the formula:

d = \sqrt{(4 - 1)^2 + (6 - 2)^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5

Therefore, the distance between the points

(1, 2)

and

(4, 6)

is 5 units. Solved on Solvelet with Basic AI Model

Some of the related questions asked by Chloe Baker on Solvelet

1. Find the distance between the points

(3, 4)

and

(-2, -3)

in the Cartesian plane,2. Combine the like terms in the expression

2x^3 - 5x^2 + 3x - 7

DefinitionLength and Distance Calculator, which as name gives the function- the most effective way to ascertain the length that is the distance between two points in 2D or 3D or how many units do you have to convert from feet to meters or meters to feet. For instance If you wanted to calculate the distance between any two points (3, 4) and (7, 1) in a plane, the calculator would use the following distance formula : [ \text{Distance} = \sqrt{(7 - 3)^2 + (1 - 4)^2} = \sqrt{16 + 9} = 5 ]

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