Pythagorean Theorem and Distance Formula

Finding the hypotenuse

100

 C=√8²⁺2²

7.7

200

C=√5^2+9^2

2.6

300

C=√52²⁺21²

47.6

400

C=√24²⁺31²

 

500

C=√67²⁺41²

52.2

Distance Formula

100

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

sqrt(74.2)≈8.616263691415206

200

(5,2) (1,2)

4

300

(4,2)(9,2)

5

400

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

sqrt(250) ~15.811388300841896

500

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

sqrt(490) =22.135943621178654

Finding leg

100

B²=10²-8²

B=6

200

B²=6²-11²

B=sqrt(85) =9.2

300

B=5²-13²

12

400

B²=8^2-15²

sqrt(161)=12.69

500

B²=25²-30²

sqrt(275)=16.58

Vocabulary

100

Are Pythagorean Theorem and Distance Formula basically 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