1. Finding Distance by using the Pythagorean Theorem

2. What is the Pythagorean Theorem?

3. What is the distance between (-2, 1) and (1, 5)?
1st - Draw a line connecting the points.
2nd - Draw in lines that would make a right triangle, using these two points as corners. (going exactly right/left, and exactly up/down on the gridlines)

4. What is the distance between (-2, 1) and (1, 5)?
Find the length of the horizontal side. (subtract the x’s = 1 – -2) 3
Find the length of the vertical side. (subtract the y’s = 5-1) 4 4 3

5. What is the distance between (-2, 1) and (1, 5)?
Use the Pythagorean Theorem to find the missing side.
a2 + b2 = c2
= c2
= c2
25 = c2 c 4 3

6. What is the distance between (-6, 6) and (1, -4)?
Draw in the line to connect the dots. Draw in the horizontal and vertical lines.
Find the lengths of the horizontal and vertical lines.
Horizontal Vertical 10 c 7

7. What is the distance between (-6, 6) and (1, -4)?
Use the Pythagorean Theorem to find the missing side.
a2 + b2 = c2
= c2
= c2
149 = c2 10 c 7
𝒄 ≈12.2