Q3. - Algebra 2

Question

OPEN ENDED Find two points that are$\sqrt{29}$ units apart.

Step-by-Step Solution

Answer

Two points are (1, 1) and (6, 3). 

Step 1. Given

The given distance is$\sqrt{29}$ units.

Step 2.To determine

Find two points that are$\sqrt{29}$ units apart.

Step 3. Calculation

We can write $\sqrt{29}$as:

$\begin{array}{l}\sqrt{29}\\ =\sqrt{25+4}\\ =\sqrt{5^2+2^2}\end{array}$

 

Now we need two points with 5 units distance between the x-coordinates and 2 units distance between the y-coordinates.

Such two points are (1, 1) and (6, 3).