Answer:
p = ± 5
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (p, 0) and (x₂, y₂ ) = (0, p)
d =
=
=
=
Given that d = 10, then
= 10 ( square both sides )
( )² = 10², that is
2p² = 100 ( divide both sides by 2 )
p² = 50 ( take the square root of both sides )
p = ± = ±
= ± 5