Pythagorean Theorem and Distance Formula

Finding the hypotenuse

100

 C√8²-2²

8.25

200

C√5^2-9^2

10.3

300

C√52²-21²

56.08

400

C√24²-31²

39.1

500

C√67²-41²

78.55

Distance Formula

100

(-3,.2) (5,-3)?

≈8.616263691415206

200

(5,2) (1,2)

4

300

(4,2)(9,2)

5

400

(-3,-6) (2,9)

15.811388300841896

500

(-9,-12) (-2,9)

22.135943621178654

Finding leg

100

B²=10²-8²

B=6

200

B²=6²-11²

B=9.2

300

B=5²-13²

12

400

B²=8^2-15²

12.69

500

B²=25²-30²

16.58

Vocabulary

100

Are Pythagorean Theorem and Distance Formula the same?

Yes

200

hypotenuse

The longest side of a right triangle.

300

legs

The sides of a right triangle that form a 90 degree angle.

400

Distance Formula

500

right triangle

a triangle with one right angle