Question

the distance between points A (x,3) and B (5 ,7) is 5 units find the value of x​

Answer 1

Step-by-step explanation:

A ( x,3) And B (5,7) Be the two points

Form the Above points we get

X1 = x

X2 = 5

Y1 = 3

Y2 = 7

Also given

distance between A and B = 5 units

We know that Distance between two points= √ (x2- x1)²+(y2-y1)²

Now substitute the values

√ (x2- x1)²+(y2-y1)² = 5

√ (5-x)²+(7-3)² = 5

squaring on both sides

(5-x)²+ 16 = 25

(5-x)² = 25-16

(5-x)². = 9

5-x. = ±√ 9

5-x. =± 3

Case i

5-x. = 3

5-3. = x

x= 2

Case ii

5-x = -3

5+3= x

x = 8

Therefore the values of X are = 2,8