Question

The distance between the point P(1, 4) and Q(4, 0) is

A. 

4

B. 

5

C. 

6

D. 

 3√3


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Answer 1

Answer:

Option B)5

Step-by-step explanation:

√ [ (4 - 1)^2  +  (4 - 0)^2]  =   √ (9 + 16)

                                        = 5

Answer 2

Answer:

P ( 1,4) -------- ( x1, y1)

Q (4,0) --------( x2, y2)

$\: \: \: \: \: \: distance \: \: formula \\ \sqrt{(x2 - x1 {)}^{2} + ( y2 - y1 {)}^{2} } \\ = \sqrt{(4 - 1 {)}^{2} + (0 - 4 {)}^{2} } \\ = \sqrt{ {3}^{2} + ( - 4 {)}^{2} } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = \sqrt{5 \times 5} \\ = 5 \: sq. \: unit$

I hope it will help you