## Posts Tagged ‘distance formula’

## Problem 512

**What is the distance between points P(10, 7) and Q(1, 8)?**

**Solution:-**

Use the Distance Formula

## Problem 511

**What is the distance between points P(6, -2) and Q(3, 4)?**

**Solution:-**

Use the Distance Formula

## Problem 510

What is the distance between P(0, 0) and Q(5, 12)?

**Solution:-**

Use the Distance Formula

d = 13

## Problem 509

**What is the distance between P(7, 0) and Q(8, 0)?**

**Solution:-**

Use the Distance Formula

d = 1

## Find the distance between the pair of points.

Find the distance between the pair of points.

Give an exact answer and an approximation to three decimal places.

(-5,6) and (2, -3)

**Solution:-**

To find the distance between two points, use the distance formula below.

d = .

Substitute the value and calculate.

d =

=

=

This is the exact value of the distance between the two point.

Now find the approximate distance to three decimal places.

11.402

## Distance Formula

**Distance Formula**

** **

The distance between the points (*x*1, *y*1) and (*x*2, *y*2) is

** d **=

**.**

## Distance between Two points (Two Dimensions)

**Distance between Two points (Two Dimensions) :**

Let and are two points in a plane,distance between them is .

Now we have to find the distance , draw two perpendiculars on axes from P and Q points, which are PM and QN, now draw a perpendicular PR from point P on QN.

According to the above figure:

OM = ; PM =

ON = ; QN =

So PR = MN = ON – OM =

And QR = QN – RN = QN – PM =

Now In right triangle PRQ :

PQ =

Or PQ =

**Or d = ….( distance formula)**