If the distance between A(0, 4) and B(3,a) is 5 units then find the value of a.
2 answers:
Answer:
a = 8
Step-by-step explanation:
Calculate AB using the distance formula and equate to 5
d =
with (x₁, y₁ ) = A (0, 4 ) and (x₂, y₂ ) = B (3, a )
d =
=
= , then
= 5 ( square both sides )
9 + (a - 4)² = 5² = 25 ( subtract 9 from both sides )
(a - 4)² = 16 ( take square root of both sides )
a - 4 = 4 ( add 4 to both sides )
a = 8
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