Question

if the distance between the two point (4,k ) and (1,0) is 5 unit find the value of k

Answer 1

As to find distance between Two points,
The formula is :
D² = [ ( x2 - x1)² + (y2 - y1)²]
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So 5² = ( 1 - 4)² + (0-k)²
Or, 25 = 3² + k²
or, k² = 25 - 9 = 16
So, k = ± 4
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Answer 2

HELLO DEAR!!!

Here's your answer...

The 2 points are (4,k) and (1,0)

The distance between them is 5

The formula to find the distance between any 2 points is

(distance)^2 = (x2-x1)^2 + (y2-y1)^2

(5)^2 = (1-4)^2 + (0-k)^2

25=9+k^2

25-9 = k^2

16=k^2

k= root16

k= +4 or -4
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HOPE THIS HELPS YOU...........