Question

If the distance between the points(4, p) and (1, 0) is 5 units, then find the value of p .

Answer 1

Answer:

p=4

Step-by-step explanation:

the distance between two points (a,b) and (x,y) is given by the pythagorean theorem as $\sqrt{(a-x)^2+(b-y)^2$.

then we have the equation

$5 = \sqrt{(4-1)^2 + p^2}$,

squaring both sides gives

$25 = 3^2 + p ^2$

rearraning gives

$25-9 =p ^2$

$16 = p^2$

$p=4$