Question

if the distance between the point (8,p) and (4,3)is 5 then find the value of p​

Answer 1

Answer:

P= 6

Step-by-step explanation:

A=(8,p) &B= (4, 3) & AB = 5

(8,p) &B= (4, 3) & AB = 5By distance formula

(8,p) &B= (4, 3) & AB = 5By distance formulaAB = √(x1 -x2)^2 + ( y1- y2)^2

5 = √(8-4)^2 + (p - 3) ^2

5 = √4^2 + p^2 +9 -6p

5 = √16 + 9 +p^2 - 6p

Squaring on both side

25 = 16 +9 + p^2 -6p

25 = 25 +p^2 - 6p

25-25 = p (p-6)

0 = p (p-6)

0 = p-6

6 =P