Q. 10 - Geometry

Question

10. Find the distance between the points named. Give all answers in simplest

form.

1.  (0, 0) and (5, -3).
2.  (3, -2) and (-5, -2).
3.  (4, 4) and (-3, -3).

Step-by-Step Solution

Answer

1. The distance is $\sqrt{34}$.
2. The distance is 8.
3. The distance is $\sqrt{98}$.

a. Step-1 – Given

The given points are (0,0) and (5, -3). 

Step-2 – To determine

We have to find the distance between the points.

Step-3 – Calculation

We will use the distance formula

$d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$