Question

3 use the pythagorean theorem to find the distance between the given points to the nearest tenth.

Explanation:

Step1: Identify horizontal/vertical distances

Let the top red point be $(x_1,y_1)$ and bottom red point be $(x_2,y_2)$. Horizontal difference: $|x_2-x_1|=5$, vertical difference: $|y_2-y_1|=3$.

Step2: Apply Pythagorean Theorem

Let distance be $d$. Use $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$\implies d=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}$

Step3: Calculate decimal approximation

$\sqrt{34}\approx5.8$

Answer:

5.8