the right distance! (pyth thm vs. distance formula)

The Right Distance!(Pyth Thm vs. Distance Formula)Unit 4.24

Find the Distance between the two points on the graph using the Pythagorean Theorem.

Step 1) Draw a right triangle where the two points form the hypotenuse.

Step 2) Count the length of the legs.

Step 3) Use the Pythagorean Theorem to find the length of the hypotenuse.

4

6

42 + 62

c

= c2

Find the Distance between the two points on the graph using the Pythagorean Theorem.

Step 1) Draw a right triangle where the two points form the hypotenuse.

Step 2) Count the length of the legs.

Step 3) Use the Pythagorean Theorem to find the length of the hypotenuse.

4

6

42 + 62

c

= c2

16 + 36 = c2

52 = c2

Find the Distance between the two points on the graph using the Pythagorean Theorem.

8

2

82 + 22

c

= c2

64 + 4 = c2

68 = c2

1)

Find the Distance between the two points on the graph using the Pythagorean Theorem.

5

7

72 + 52

c

= c2

49 + 25 = c2

74 = c2

2)

Find the Distance between the two points on the graph using the Pythagorean Theorem.

6

3

32 + 62

c

= c2

3)

6.7

Find the Distance between the two points on the graph using the Pythagorean Theorem.

4)

10.3

Find the Distance between the two points on the graph using the Pythagorean Theorem.

5)

13.6

Pythagorean Thm. vs. The Distance Formula

Right Triangle Two Coordinates

Length of two sides of triangle

In order to use, you must have …

Picture or Graph (optional)

Picture or Graph (optional)

(4,7)

(8,1)

√42 + (-6)2 = c

Pythagorean Thm. vs. The Distance Formula

√16 + 36 = c

√52 = c

√(8 – 4)2 + (1 – 7)2 = c

4

6

√42 + 62 = c

√a2 + b2 = c

√16 + 36 = c

√52 = c

Can’t go further!

Find the Distance between the two points using the Distance Formula.

6)

(-3,8)

(1,-5)

√42 + (-13)2 = c

√16 + 169 = c

√185 = c

√(1 – -3)2 + (-5 – 8)2 = c

4

13

7)

(-6,0)

(4,5)

11.2

Find the Distance between the two points using the Distance Formula.

8)

(3,-6)

(0,5)

11.4

Find the Distance between the two points using the Distance Formula.

9)

(10,4)

(-5,-2)

16.2

Find the Distance between the two points using the Distance Formula.

Homework Time! The Right Distance! WS