Question

A is the point (70, -80) and B has coordinates (-58, 48) what is exact length of AB

Answer 1

Answer:

$128\sqrt{2}$  units

Step-by-step explanation:

We are given;

• Coordinates of A (70, -80)
• Coordinates of B (-58, 48)

We are required to calculate the length of AB

• To determine the length of AB we are going to use the formula for getting magnitude;
• Given, coordinates (x₁, y₁) and (x₂, y₂), then

• Magnitude =√((x₂-x₁)²+(y₂-y₁)²)

Therefore;

Length = $\sqrt{((48+80)^{2} +(-58-70)^2})$

            =$\sqrt{16384+16384}$

            = $\sqrt{16384*2}$

            = $\sqrt{16384} *\sqrt{2}$

            = $128\sqrt{2}$

Therefore, the exact length of AB is $128\sqrt{2}$  units