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Penyelesaian - Distance between two points

Hasil Akhir Langkah-langkah Terma dan topik

The distance between the 2 points is:

d = \sqrt{(4388)} = 66.242

d=sqrt(4388)=66.242

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Penjelasan langkah demi langkah

1. Plot the two points and calculate the distance using the formula

The coordinates of Point 1 are:
$X_{1} =$ $- 11$
and $Y_{1} =$ $58$

The coordinates of Point 2 are:
$X_{2} =$ $- 69$
and $Y_{2} =$ $26$

d is the distance between the two points.

First, take the square root of both sides of the Pythagorean theorem.

$d^{2} = {(X_{2} - X_{1})}^{2} + {(Y_{2} - Y_{1})}^{2}$

This gives us the distance formula.

$d = \sqrt{({(X_{2} - X_{1})}^{2} + {(Y_{2} - Y_{1})}^{2})}$

Plug the coordinates of the points into the formula

$X_{1} = - 11$

$d = \sqrt{({(X_{2} - - 11)}^{2} + {(Y_{2} - Y_{1})}^{2})}$

$X_{2} = - 69$

$d = \sqrt{({(- 69 - - 11)}^{2} + {(Y_{2} - Y_{1})}^{2})}$

$Y_{1} = 58$

$d = \sqrt{({(- 69 - - 11)}^{2} + {(Y_{2} - 58)}^{2})}$

$Y_{2} = 26$

$d = \sqrt{({(- 69 - - 11)}^{2} + {(26 - 58)}^{2})}$

Calculate the expression inside the parentheses

$d = \sqrt{({(- 58)}^{2} + {(26 - 58)}^{2})}$

$d = \sqrt{({(- 58)}^{2} + {(- 32)}^{2})}$

Simplify numbers raised to exponents

$d = \sqrt{(3364 + {(- 32)}^{2})}$

$d = \sqrt{(3364 + 1024)}$

Permudahkan aritmetik

$d = \sqrt{(4388)}$

$d = 66.242$

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Mengapa belajar ini

Learn more with Tiger

Whether it is a quarterback throwing a football, an architect designing a support beam, or a sailor navigating the open seas, many professionals rely heavily on their ability to find the distance between two points.
There is exactly one line between any two points and the distance formula allows us to plug in their coordinates to find the distance between them. This allows us to solve a wide range of real world problems and understand the spatial relationships between objects and spaces around them.

Terma dan topik

Distance between two points

Penyelesaian - Distance between two points

Penjelasan langkah demi langkah

1. Plot the two points and calculate the distance using the formula

Mengapa belajar ini

Terma dan topik

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