Question

Indicate the distance of the segment using the given

Answer 1

The distance of segment AX sis found to be 8.6 units using the distance formula.

What exactly is the distance formula?

• $\sqrt{[x_{2}-x_{1}]^{2} + [y_{2}-y_{1}]^{2} }$  is the distance formula. This works for any two points in two-dimensional space with coordinates (x₁, y₁) for the first and (x₂, y₂) for the second.
• You may easily remember it if you remember that it is Pythagoras' theorem, that the distance is the hypothenuse, and that the coordinate lengths are the difference between the x and y components of the points.

Why do we employ the distance formula?

• In complex numbers, the distance formula is used to express the plane and its magnitude.
• Furthermore, distance formulae can be used to calculate the distance between two planes in three-dimensional or n-dimensional planes. It is also used to calculate the magnitude formula.

Given: A(-4, 5), X (1, −2)

We need to find the distance of the segment AX.

Distance of AX is given as :

$\sqrt{[1-(-4)]^{2} + [-2-5]^{2} } \\= \sqrt{25 + 49}\\ = \sqrt{74}\\ =8.6$

Therefore, the distance of segment AX sis found to be 8.6 units using the distance formula.

Learn more about distance formula here:

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