Question

If the distance between the points A(p, 0) and
B(0, p) is 10, find the possible values of p.​

Answer 1

Answer:

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

Step-by-step explanation:

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