Question

pythagorean distance
what is the vertical distance b?
pythagorean formula c² = a² + b²
a=7

Explanation:

Step1: Identify vertical distance

The vertical distance \( b \) is the difference in y - coordinates of the two points. The top point has a y - coordinate of 4, and the bottom point has a y - coordinate of - 3.

Step2: Calculate the difference

To find the vertical distance, we calculate \( |4 - (-3)|=|4 + 3| = 7 \). We can also verify using the Pythagorean theorem. Let's assume the horizontal distance \( a = 7 \) (given) and we know the Pythagorean formula \( c^{2}=a^{2}+b^{2} \). But since we are looking for vertical distance (difference in y - values), the direct calculation of the difference in y - coordinates gives us the vertical distance.

Answer:

7