Question

1. graph the right triangle with the point (-5,5) and (3,2) forming the hypotenuse. using the sides find the distance between the two points.

Explanation:

Step1: Find horizontal side length

The difference in x - coordinates: $|3-(-5)|=|3 + 5|=8$.

Step2: Find vertical side length

The difference in y - coordinates: $|2 - 5|=3$.

Step3: Apply Pythagorean theorem

Let $a = 8$, $b = 3$. The distance $d$ between the two points is $d=\sqrt{a^{2}+b^{2}}=\sqrt{8^{2}+3^{2}}=\sqrt{64 + 9}=\sqrt{73}$.

Answer:

$\sqrt{73}$