Chapter 13: Q. 9 (page 526)

Use the distance formula to find the distance between the two points.
(5, 4) and (1, -2)

Short Answer

Expert verified

The distance is $\sqrt{52} .$

Step by step solution

Step-1 – Given

The given points are (5, 4) and (1, -2).

Step-2 – To determine

We have to find the distance between the two points using the distance formula.

Step-3 – Calculation

Let $(x_{1}, y_{1}) = (5, 4) and (x_{2}, y_{2}) = (1, - 2) .$

Using the distance formula $d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} [d = distance]$ we get:

$\begin{array}{l} d = \sqrt{{(1 - 5)}^{2} + {(- 2 - 4)}^{2}} \\ d = \sqrt{{(- 4)}^{2} + {(- 6)}^{2}} \\ d = \sqrt{16 + 36} \\ d = \sqrt{52} \end{array}$

Hence, the required distance is $\sqrt{52} .$

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Use the distance formula to find the distance between the two points.
(5, 4) and (1, -2)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Use the distance formula to find the distance between the two points.(5, 4) and (1, -2)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Mechanics Maths

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Geometry

Study anywhere. Anytime. Across all devices.

Use the distance formula to find the distance between the two points.
(5, 4) and (1, -2)