8th Grade Pythagorean Theorem

Distance Between Two Points

100

Find the distance between the two points:

(3, 2)

(8, 2)

5

200

Find the distance between the two points: 

(1, 3)

(5, 7)

5.66 or 5.7

300

Find the distance between the two points: 

(10, 6)

(1, -4)

13.45 or 13.5

400

Find the distance between the two points: 

(-6, 5) 

(8, -3)

16.12 or 16.1

500

Find the distance between the two points: 

(-8, -9)

(-4, -10)

4.12 or 4.1

Unknown Side Lengths

100

When the hypotenuse is 15 and one of the legs is 9 the other leg is:

12

200

When your two legs are 16 and 12, your hypotenuse is..

20

300

When one leg is 4 and the hypotenuse is 5, what is the length of the other leg?

3

400

Yasmin walked 15 yards due north and 6 yards west, but then she went directly back to her starting point. What is the shortest distance back to her starting point? Round your answer to the nearest whole number. 

16

500

Isaiah has a 30 ft ladder. To the nearest foot, how far up the wall will the ladder reach when the base of the ladder is 24 ft from the wall?

18

Is it a Right Triangle?

100

13, 14, 15

no

200

3, 4, 5

yes

300

6, 8, 10

yes

400

4, 7, 9

no

500

15, 20, 25

yes

Pythagorean Theorem

100

What is the formula for the Pythagorean Theorem?

a² + b² = c²

200

What are the parts of a right triangle? 

leg, leg, hypotenuse

300

What is the name of the longest side of a right triangle?

hypotenuse

400

What is the inverse of squaring a number?

Taking the square root

500

Who is credited for the Pythagorean Theorem? (You cannot look this up)

Pythagoras

Misc

100

The Pythagorean Theorem solves for what type of triangles?

Right

200

What is the side length that is always across from the 90 degree angle called?

The hypotenuse

300

What is the distance formula?

(x₁-x_{2) + (}y₁-y₂) = C²

400

What is the longest side in a right triangle called?

Hypotenuse

500

How can I find the Diagnoal of this image?

Length of 12

Width of 24 

Height of 16

31.24