We get the distance between the coordinates of the point S and T as 5 √2 units.
We are given the coordinates of two points as:
S = ( - 2, 4 )
T = ( 3, 9 )
We have to find the distance between the points S and T.
We will use the distance formula for this.
Distance = √(x₂ - x₁)² + ( y₂ - y₁)²
Here, we have:
x₁ = -2
x₂ = 3
y₁ = 4
y₂ = 9
Substituting the values in the formula, we get that:
Distance = √(3 + 2)² + ( 9 - 4)² units
Distance = √(5)² + ( 5)² units
Distance = √25 + 25 units
Distance = √50 units
Distance = 5 √2 units
Therefore, we get the distance between the coordinates of the point S and T as 5 √2 units.
Learn more about coordinates here:
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